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102104253520 = 245171910736929
BaseRepresentation
bin101111100010111100…
…0110100010001010000
3100202112211011111102021
41133011320310101100
53133102142103040
6114523412301224
710243144556263
oct1370570642120
9322484144367
10102104253520
113a3362099a5
1217956611814
139822759679
144d286d6cda
1529c8d4224a
hex17c5e34450

102104253520 has 160 divisors (see below), whose sum is σ = 267065942400. Its totient is φ = 36074815488.

The previous prime is 102104253457. The next prime is 102104253547. The reversal of 102104253520 is 25352401201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2746416 + ... + 2783344.

It is an arithmetic number, because the mean of its divisors is an integer number (1669162140).

Almost surely, 2102104253520 is an apocalyptic number.

102104253520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102104253520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133532971200).

102104253520 is an abundant number, since it is smaller than the sum of its proper divisors (164961688880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102104253520 is a wasteful number, since it uses less digits than its factorization.

102104253520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37085 (or 37079 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 102104253520 its reverse (25352401201), we get a palindrome (127456654721).

The spelling of 102104253520 in words is "one hundred two billion, one hundred four million, two hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 107 136 152 170 190 214 272 304 323 340 380 428 535 646 680 760 856 1070 1292 1360 1520 1615 1712 1819 2033 2140 2584 3230 3638 4066 4280 5168 6460 7276 8132 8560 9095 10165 12920 14552 16264 18190 20330 25840 29104 32528 34561 36380 36929 40660 69122 72760 73858 81320 138244 145520 147716 162640 172805 184645 276488 295432 345610 369290 552976 590864 627793 691220 701651 738580 1255586 1382440 1403302 1477160 2511172 2764880 2806604 2954320 3138965 3508255 3951403 5022344 5613208 6277930 7016510 7902806 10044688 11226416 11928067 12555860 14033020 15805612 19757015 23856134 25111720 28066040 31611224 39514030 47712268 50223440 56132080 59640335 63222448 67173851 75076657 79028060 95424536 119280670 134347702 150153314 158056120 190849072 238561340 268695404 300306628 316112240 335869255 375383285 477122680 537390808 600613256 671738510 750766570 954245360 1074781616 1201226512 1276303169 1343477020 1501533140 2552606338 2686954040 3003066280 5105212676 5373908080 6006132560 6381515845 10210425352 12763031690 20420850704 25526063380 51052126760 102104253520