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108135552 = 27373821
BaseRepresentation
bin1100111001000…
…00010010000000
321112110212002110
412130200102000
5210140314202
614421415320
72452065000
oct634402200
9245425073
10108135552
1156048928
123026a540
1319531845
141050c000
15976026c
hex6720480

108135552 has 128 divisors (see below), whose sum is σ = 335376000. Its totient is φ = 30858240.

The previous prime is 108135551. The next prime is 108135563. The reversal of 108135552 is 255531801.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (108135551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131302 + ... + 132122.

It is an arithmetic number, because the mean of its divisors is an integer number (2620125).

Almost surely, 2108135552 is an apocalyptic number.

108135552 is a gapful number since it is divisible by the number (12) 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 108135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167688000).

108135552 is an abundant number, since it is smaller than the sum of its proper divisors (227240448).

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

108135552 is an frugal number, since it uses more digits than its factorization.

108135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 108135552 is about 10398.8245489574. The cubic root of 108135552 is about 476.4194687637.

The spelling of 108135552 in words is "one hundred eight million, one hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 343 384 392 448 588 672 686 784 821 896 1029 1176 1344 1372 1568 1642 2058 2352 2463 2688 2744 3136 3284 4116 4704 4926 5488 5747 6272 6568 8232 9408 9852 10976 11494 13136 16464 17241 18816 19704 21952 22988 26272 32928 34482 39408 40229 43904 45976 52544 65856 68964 78816 80458 91952 105088 120687 131712 137928 157632 160916 183904 241374 275856 281603 315264 321832 367808 482748 551712 563206 643664 735616 844809 965496 1103424 1126412 1287328 1689618 1930992 2206848 2252824 2574656 3379236 3861984 4505648 5149312 6758472 7723968 9011296 13516944 15447936 18022592 27033888 36045184 54067776 108135552