107352962928 has 80 divisors (see below), whose sum is σ = 311134570240. Its totient is φ = 35436885696.

The previous prime is 107352962881. The next prime is 107352962987. The reversal of 107352962928 is 829269253701.

107352962928 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 5 + 2 + 9 + 629 + 2 + 8 = 666.

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

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, 1161826 + ... + 1250817.

It is an arithmetic number, because the mean of its divisors is an integer number (3889182128).

Almost surely, 2^107352962928 is an apocalyptic number.

107352962928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107352962928 is an abundant number, since it is smaller than the sum of its proper divisors (203781607312).

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

107352962928 is a wasteful number, since it uses less digits than its factorization.

107352962928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412763 (or 2412751 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 107352962928 in words is "one hundred seven billion, three hundred fifty-two million, nine hundred sixty-two thousand, nine hundred twenty-eight".