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108152096 = 25131741373
BaseRepresentation
bin1100111001001…
…00010100100000
321112111200210012
412130210110200
5210141331341
614422024052
72452164143
oct634442440
9245450705
10108152096
115605a2a8
1230278028
1319539230
141051405a
1597650eb
hex6724520

108152096 has 96 divisors (see below), whose sum is σ = 249380208. Its totient is φ = 45711360.

The previous prime is 108152081. The next prime is 108152111. The reversal of 108152096 is 690251801.

It is an interprime number because it is at equal distance from previous prime (108152081) and next prime (108152111).

It can be written as a sum of positive squares in 8 ways, for example, as 22848400 + 85303696 = 4780^2 + 9236^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289766 + ... + 290138.

Almost surely, 2108152096 is an apocalyptic number.

108152096 is a gapful number since it is divisible by the number (16) 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 108152096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124690104).

108152096 is an abundant number, since it is smaller than the sum of its proper divisors (141228112).

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

108152096 is a wasteful number, since it uses less digits than its factorization.

108152096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 108152096 is about 10399.6199930574. The cubic root of 108152096 is about 476.4437638317.

The spelling of 108152096 in words is "one hundred eight million, one hundred fifty-two thousand, ninety-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 41 52 68 82 104 136 164 208 221 272 328 373 416 442 533 544 656 697 746 884 1066 1312 1394 1492 1768 2132 2788 2984 3536 4264 4849 5576 5968 6341 7072 8528 9061 9698 11152 11936 12682 15293 17056 18122 19396 22304 25364 30586 36244 38792 50728 61172 72488 77584 82433 101456 122344 144976 155168 164866 198809 202912 244688 259981 289952 329732 397618 489376 519962 659464 795236 1039924 1318928 1590472 2079848 2637856 3180944 3379753 4159696 6361888 6759506 8319392 13519012 27038024 54076048 108152096