107387496610632 has 96 divisors (see below), whose sum is σ = 332397271764480. Its totient is φ = 30681458691840.

The previous prime is 107387496610579. The next prime is 107387496610633. The reversal of 107387496610632 is 236016694783701.

It is a happy number.

107387496610632 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 8 + 7 + 4 + 9 + 6 + 610 + 6 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 107387496610632.

It is not an unprimeable number, because it can be changed into a prime (107387496610633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20503332 + ... + 25202412.

It is an arithmetic number, because the mean of its divisors is an integer number (3462471580880).

Almost surely, 2^{107387496610632} is an apocalyptic number.

107387496610632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107387496610632 is an abundant number, since it is smaller than the sum of its proper divisors (225009775153848).

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

107387496610632 is a wasteful number, since it uses less digits than its factorization.

107387496610632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744443 (or 4744436 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 107387496610632 in words is "one hundred seven trillion, three hundred eighty-seven billion, four hundred ninety-six million, six hundred ten thousand, six hundred thirty-two".