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107915906112 = 2637792114817
BaseRepresentation
bin110010010000001001…
…0100000110001000000
3101022112211211001000120
41210200102200301000
53232002432443422
6121324220220240
710540154031660
oct1444022406100
9338484731016
10107915906112
1141848796573
1218ab899a680
13a23a7bac61
14531a4b81a0
152c1917345c
hex19204a0c40

107915906112 has 224 divisors, whose sum is σ = 332082769920. Its totient is φ = 30292254720.

The previous prime is 107915906101. The next prime is 107915906141. The reversal of 107915906112 is 211609519701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22400728 + ... + 22405544.

Almost surely, 2107915906112 is an apocalyptic number.

107915906112 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 107915906112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166041384960).

107915906112 is an abundant number, since it is smaller than the sum of its proper divisors (224166863808).

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

107915906112 is a wasteful number, since it uses less digits than its factorization.

107915906112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5129 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 42.

The spelling of 107915906112 in words is "one hundred seven billion, nine hundred fifteen million, nine hundred six thousand, one hundred twelve".