107581362656 has 96 divisors (see below), whose sum is σ = 217631383200. Its totient is φ = 52332134400.

The previous prime is 107581362631. The next prime is 107581362739. The reversal of 107581362656 is 656263185701.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114814220 + ... + 114815156.

It is an arithmetic number, because the mean of its divisors is an integer number (2266993575).

Almost surely, 2^107581362656 is an apocalyptic number.

107581362656 is a gapful number since it is divisible by the number (16) 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 107581362656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108815691600).

107581362656 is an abundant number, since it is smaller than the sum of its proper divisors (110050020544).

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

107581362656 is a wasteful number, since it uses less digits than its factorization.

107581362656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 107581362656 in words is "one hundred seven billion, five hundred eighty-one million, three hundred sixty-two thousand, six hundred fifty-six".