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102107223460 = 225112917479161
BaseRepresentation
bin101111100011000010…
…0001001010110100100
3100202120000202101102001
41133012010021112210
53133103422122320
6114524000055044
710243212036064
oct1370604112644
9322500671361
10102107223460
113a3379582a0
1217957604484
139823259428
144d28c6b3a4
1529c922c20a
hex17c61095a4

102107223460 has 96 divisors (see below), whose sum is σ = 242149461120. Its totient is φ = 35825126400.

The previous prime is 102107223457. The next prime is 102107223469. The reversal of 102107223460 is 64322701201.

It is not an unprimeable number, because it can be changed into a prime (102107223469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11141280 + ... + 11150440.

It is an arithmetic number, because the mean of its divisors is an integer number (2522390220).

Almost surely, 2102107223460 is an apocalyptic number.

102107223460 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 102107223460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121074730560).

102107223460 is an abundant number, since it is smaller than the sum of its proper divisors (140042237660).

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

102107223460 is a wasteful number, since it uses less digits than its factorization.

102107223460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10957 (or 10955 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 102107223460 its reverse (64322701201), we get a palindrome (166429924661).

The spelling of 102107223460 in words is "one hundred two billion, one hundred seven million, two hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 1747 3190 3494 6380 6988 8735 9161 17470 18322 19217 34940 36644 38434 45805 50663 76868 91610 96085 100771 101326 183220 192170 201542 202652 253315 265669 384340 403084 503855 506630 531338 557293 1007710 1013260 1062676 1114586 1328345 2015420 2229172 2656690 2786465 2922359 5313380 5572930 5844718 11145860 11689436 14611795 16004267 29223590 32008534 58447180 64017068 80021335 160042670 176046937 320085340 352093874 464123743 704187748 880234685 928247486 1760469370 1856494972 2320618715 3520938740 4641237430 5105361173 9282474860 10210722346 20421444692 25526805865 51053611730 102107223460