107216602201656 has 192 divisors, whose sum is σ = 314281257937920. Its totient is φ = 34178969278080.

The previous prime is 107216602201591. The next prime is 107216602201699. The reversal of 107216602201656 is 656102206612701.

107216602201656 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 1 + 6 + 602 + 20 + 16 + 5 + 6 = 666.

It is a super-2 number, since 2×107216602201656² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256572246 + ... + 256989786.

It is an arithmetic number, because the mean of its divisors is an integer number (1636881551760).

Almost surely, 2^{107216602201656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107216602201656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157140628968960).

107216602201656 is an abundant number, since it is smaller than the sum of its proper divisors (207064655736264).

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

107216602201656 is a wasteful number, since it uses less digits than its factorization.

107216602201656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423328 (or 423312 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 107216602201656 in words is "one hundred seven trillion, two hundred sixteen billion, six hundred two million, two hundred one thousand, six hundred fifty-six".