102756433920 has 960 divisors, whose sum is σ = 407673907200. Its totient is φ = 22042116096.

The previous prime is 102756433837. The next prime is 102756433937. The reversal of 102756433920 is 29334657201.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1938800614 + ... + 1938800666.

It is an arithmetic number, because the mean of its divisors is an integer number (424660320).

Almost surely, 2^102756433920 is an apocalyptic number.

102756433920 is a gapful number since it is divisible by the number (10) 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 102756433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203836953600).

102756433920 is an abundant number, since it is smaller than the sum of its proper divisors (304917473280).

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

102756433920 is an frugal number, since it uses more digits than its factorization.

102756433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 102756433920 in words is "one hundred two billion, seven hundred fifty-six million, four hundred thirty-three thousand, nine hundred twenty".