102752845920 has 192 divisors, whose sum is σ = 375271626240. Its totient is φ = 26209396224.

The previous prime is 102752845859. The next prime is 102752845927. The reversal of 102752845920 is 29548257201.

102752845920 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 52 + 8 + 4 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102752845927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417714 + ... + 616433.

It is an arithmetic number, because the mean of its divisors is an integer number (1954539720).

Almost surely, 2^102752845920 is an apocalyptic number.

102752845920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102752845920 is an abundant number, since it is smaller than the sum of its proper divisors (272518780320).

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

102752845920 is a wasteful number, since it uses less digits than its factorization.

102752845920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034194 (or 1034180 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 102752845920 in words is "one hundred two billion, seven hundred fifty-two million, eight hundred forty-five thousand, nine hundred twenty".