107912156040 has 960 divisors, whose sum is σ = 423804648960. Its totient is φ = 24466406400.

The previous prime is 107912156003. The next prime is 107912156057. The reversal of 107912156040 is 40651219701.

107912156040 is a `hidden beast` number, since 1 + 0 + 7 + 91 + 2 + 1 + 560 + 4 + 0 = 666.

107912156040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107912155986 and 107912156004.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 714649965 + ... + 714650115.

It is an arithmetic number, because the mean of its divisors is an integer number (441463176).

Almost surely, 2^107912156040 is an apocalyptic number.

107912156040 is a gapful number since it is divisible by the number (10) 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 107912156040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211902324480).

107912156040 is an abundant number, since it is smaller than the sum of its proper divisors (315892492920).

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

107912156040 is a wasteful number, since it uses less digits than its factorization.

107912156040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 107912156040 in words is "one hundred seven billion, nine hundred twelve million, one hundred fifty-six thousand, forty".