107156765040 has 320 divisors, whose sum is σ = 391006973952. Its totient is φ = 24024268800.

The previous prime is 107156765039. The next prime is 107156765069. The reversal of 107156765040 is 40567651701.

It is a super-2 number, since 2×107156765040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107156764983 and 107156765001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1611655 + ... + 1676825.

Almost surely, 2^107156765040 is an apocalyptic number.

107156765040 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 107156765040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195503486976).

107156765040 is an abundant number, since it is smaller than the sum of its proper divisors (283850208912).

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

107156765040 is a wasteful number, since it uses less digits than its factorization.

107156765040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65248 (or 65242 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 107156765040 in words is "one hundred seven billion, one hundred fifty-six million, seven hundred sixty-five thousand, forty".