107116416000 has 1056 divisors, whose sum is σ = 430408442880. Its totient is φ = 25399296000.

The previous prime is 107116415969. The next prime is 107116416023. The reversal of 107116416000 is 614611701.

107116416000 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 16 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×107116416000² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1001087947 + ... + 1001088053.

Almost surely, 2^107116416000 is an apocalyptic number.

107116416000 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 107116416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215204221440).

107116416000 is an abundant number, since it is smaller than the sum of its proper divisors (323292026880).

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

107116416000 is a wasteful number, since it uses less digits than its factorization.

107116416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 107116416000 in words is "one hundred seven billion, one hundred sixteen million, four hundred sixteen thousand".