102575434752 has 880 divisors, whose sum is σ = 372838287360. Its totient is φ = 27471052800.

The previous prime is 102575434747. The next prime is 102575434777. The reversal of 102575434752 is 257434575201.

102575434752 is a `hidden beast` number, since 1 + 0 + 2 + 57 + 543 + 4 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102575434698 and 102575434707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 737952699 + ... + 737952837.

It is an arithmetic number, because the mean of its divisors is an integer number (423679872).

Almost surely, 2^102575434752 is an apocalyptic number.

102575434752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102575434752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186419143680).

102575434752 is an abundant number, since it is smaller than the sum of its proper divisors (270262852608).

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

102575434752 is a wasteful number, since it uses less digits than its factorization.

102575434752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 102575434752 in words is "one hundred two billion, five hundred seventy-five million, four hundred thirty-four thousand, seven hundred fifty-two".