102750057072 has 60 divisors (see below), whose sum is σ = 309677260984. Its totient is φ = 31615401600.

The previous prime is 102750057071. The next prime is 102750057089. The reversal of 102750057072 is 270750057201.

102750057072 is a `hidden beast` number, since 10 + 2 + 7 + 5 + 0 + 0 + 570 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102750057071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27442054 + ... + 27445797.

Almost surely, 2^102750057072 is an apocalyptic number.

102750057072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102750057072 is an abundant number, since it is smaller than the sum of its proper divisors (206927203912).

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

102750057072 is a wasteful number, since it uses less digits than its factorization.

102750057072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54887878 (or 54887869 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The spelling of 102750057072 in words is "one hundred two billion, seven hundred fifty million, fifty-seven thousand, seventy-two".