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103251104 = 251147792
BaseRepresentation
bin1100010011101…
…11110010100000
321012021200212222
412021313302200
5202413013404
614125010212
72362422425
oct611676240
9235250788
10103251104
11533120a0
122a6b3968
1318511538
14d9d9d4c
1590e7dbe
hex6277ca0

103251104 has 72 divisors (see below), whose sum is σ = 229376448. Its totient is φ = 45352320.

The previous prime is 103251097. The next prime is 103251131. The reversal of 103251104 is 401152301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1306937 + ... + 1307015.

It is an arithmetic number, because the mean of its divisors is an integer number (3185784).

Almost surely, 2103251104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103251104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114688224).

103251104 is an abundant number, since it is smaller than the sum of its proper divisors (126125344).

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

103251104 is an equidigital number, since it uses as much as digits as its factorization.

103251104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 103251104 is about 10161.2550405941. The cubic root of 103251104 is about 469.1354318729.

The spelling of 103251104 in words is "one hundred three million, two hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 47 79 88 94 158 176 188 316 352 376 517 632 752 869 1034 1264 1504 1738 2068 2528 3476 3713 4136 6241 6952 7426 8272 12482 13904 14852 16544 24964 27808 29704 40843 49928 59408 68651 81686 99856 118816 137302 163372 199712 274604 293327 326744 549208 586654 653488 1098416 1173308 1306976 2196832 2346616 3226597 4693232 6453194 9386464 12906388 25812776 51625552 103251104