107055716201984 has 320 divisors, whose sum is σ = 254377286811648. Its totient is φ = 44501637734400.

The previous prime is 107055716201977. The next prime is 107055716202041. The reversal of 107055716201984 is 489102617550701.

It is a super-2 number, since 2×107055716201984² (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 31 ways as a sum of consecutive naturals, for example, 333135527 + ... + 333456729.

Almost surely, 2^{107055716201984} 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 107055716201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127188643405824).

107055716201984 is an abundant number, since it is smaller than the sum of its proper divisors (147321570609664).

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

107055716201984 is a wasteful number, since it uses less digits than its factorization.

107055716201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321369 (or 321353 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 56.

The spelling of 107055716201984 in words is "one hundred seven trillion, fifty-five billion, seven hundred sixteen million, two hundred one thousand, nine hundred eighty-four".