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108106704 = 2433251997
BaseRepresentation
bin1100111000110…
…01001111010000
321112102101112000
412130121033100
5210133403304
614421034000
72451614616
oct634311720
9245371460
10108106704
1156029192
1230255900
1319521684
14105016b6
159756939
hex67193d0

108106704 has 80 divisors (see below), whose sum is σ = 311855040. Its totient is φ = 35856000.

The previous prime is 108106699. The next prime is 108106717. The reversal of 108106704 is 407601801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 107934 + ... + 108930.

It is an arithmetic number, because the mean of its divisors is an integer number (3898188).

Almost surely, 2108106704 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 108106704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155927520).

108106704 is an abundant number, since it is smaller than the sum of its proper divisors (203748336).

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

108106704 is a wasteful number, since it uses less digits than its factorization.

108106704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 108106704 is about 10397.4373765847. The cubic root of 108106704 is about 476.3770991917.

The spelling of 108106704 in words is "one hundred eight million, one hundred six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 251 432 502 753 997 1004 1506 1994 2008 2259 2991 3012 3988 4016 4518 5982 6024 6777 7976 8973 9036 11964 12048 13554 15952 17946 18072 23928 26919 27108 35892 36144 47856 53838 54216 71784 107676 108432 143568 215352 250247 430704 500494 750741 1000988 1501482 2001976 2252223 3002964 4003952 4504446 6005928 6756669 9008892 12011856 13513338 18017784 27026676 36035568 54053352 108106704