107652640104 has 96 divisors (see below), whose sum is σ = 294743696520. Its totient is φ = 35492732928.

The previous prime is 107652640091. The next prime is 107652640127. The reversal of 107652640104 is 401046256701.

107652640104 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 5 + 2 + 640 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80654864004 + 26997776100 = 283998^2 + 164310^2 .

It is a super-2 number, since 2×107652640104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14921202 + ... + 14928414.

Almost surely, 2^107652640104 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 107652640104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147371848260).

107652640104 is an abundant number, since it is smaller than the sum of its proper divisors (187091056416).

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

107652640104 is a wasteful number, since it uses less digits than its factorization.

107652640104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9459 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 107652640104 its reverse (401046256701), we get a palindrome (508698896805).

The spelling of 107652640104 in words is "one hundred seven billion, six hundred fifty-two million, six hundred forty thousand, one hundred four".