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108832113 = 33132172361
BaseRepresentation
bin1100111110010…
…10010101110001
321120210020121000
412133022111301
5210330111423
614444352213
72461025535
oct637122561
9246706530
10108832113
11564841a5
1230545669
1319716900
141064dbc5
15984b843
hex67ca571

108832113 has 96 divisors (see below), whose sum is σ = 196058880. Its totient is φ = 59304960.

The previous prime is 108832109. The next prime is 108832177. The reversal of 108832113 is 311238801.

It is not a de Polignac number, because 108832113 - 22 = 108832109 is a prime.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is not an unprimeable number, because it can be changed into a prime (108832313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1784103 + ... + 1784163.

It is an arithmetic number, because the mean of its divisors is an integer number (2042280).

Almost surely, 2108832113 is an apocalyptic number.

108832113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

108832113 is a deficient number, since it is larger than the sum of its proper divisors (87226767).

108832113 is a wasteful number, since it uses less digits than its factorization.

108832113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 108832113 is about 10432.2630814220. The cubic root of 108832113 is about 477.4402406871.

It can be divided in two parts, 10883 and 2113, that added together give a square (12996 = 1142).

The spelling of 108832113 in words is "one hundred eight million, eight hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 9 13 17 23 27 39 51 61 69 117 153 169 183 207 221 299 351 391 459 507 549 621 663 793 897 1037 1173 1403 1521 1647 1989 2379 2691 2873 3111 3519 3887 4209 4563 5083 5967 7137 8073 8619 9333 10309 10557 11661 12627 13481 15249 18239 21411 23851 25857 27999 30927 34983 37881 40443 45747 54717 66079 71553 77571 92781 104949 121329 137241 164151 175253 198237 214659 237107 278343 310063 363987 492453 525759 594711 643977 711321 930189 1577277 1784133 2133963 2790567 4030819 4731831 6401889 8371701 12092457 36277371 108832113