107311785984 has 768 divisors, whose sum is σ = 368563104000. Its totient is φ = 30958682112.

The previous prime is 107311785967. The next prime is 107311786007. The reversal of 107311785984 is 489587113701.

107311785984 is a `hidden beast` number, since 1 + 0 + 7 + 31 + 17 + 8 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×107311785984² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 107311785984.

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, 1106307024 + ... + 1106307120.

It is an arithmetic number, because the mean of its divisors is an integer number (479899875).

Almost surely, 2^107311785984 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 107311785984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184281552000).

107311785984 is an abundant number, since it is smaller than the sum of its proper divisors (261251318016).

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

107311785984 is an frugal number, since it uses more digits than its factorization.

107311785984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 107311785984 in words is "one hundred seven billion, three hundred eleven million, seven hundred eighty-five thousand, nine hundred eighty-four".