107742192800 has 72 divisors (see below), whose sum is σ = 286937072352. Its totient is φ = 39178976000.

The previous prime is 107742192791. The next prime is 107742192823. The reversal of 107742192800 is 8291247701.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6112916 + ... + 6130515.

It is an arithmetic number, because the mean of its divisors is an integer number (3985237116).

Almost surely, 2^107742192800 is an apocalyptic number.

107742192800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107742192800 is an abundant number, since it is smaller than the sum of its proper divisors (179194879552).

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

107742192800 is a wasteful number, since it uses less digits than its factorization.

107742192800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12243462 (or 12243449 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 107742192800 in words is "one hundred seven billion, seven hundred forty-two million, one hundred ninety-two thousand, eight hundred".