107016113700 has 216 divisors, whose sum is σ = 346720308480. Its totient is φ = 27580089600.

The previous prime is 107016113681. The next prime is 107016113717. The reversal of 107016113700 is 7311610701.

107016113700 is a `hidden beast` number, since 10 + 7 + 0 + 1 + 611 + 37 + 0 + 0 = 666.

It is a super-2 number, since 2×107016113700² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25303186 + ... + 25307414.

Almost surely, 2^107016113700 is an apocalyptic number.

107016113700 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 107016113700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173360154240).

107016113700 is an abundant number, since it is smaller than the sum of its proper divisors (239704194780).

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

107016113700 is a wasteful number, since it uses less digits than its factorization.

107016113700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5187 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The spelling of 107016113700 in words is "one hundred seven billion, sixteen million, one hundred thirteen thousand, seven hundred".