102357482304 has 224 divisors, whose sum is σ = 338006716416. Its totient is φ = 26558023680.

The previous prime is 102357482177. The next prime is 102357482323. The reversal of 102357482304 is 403284753201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×102357482304² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16303614 + ... + 16309890.

Almost surely, 2^102357482304 is an apocalyptic number.

102357482304 is a gapful number since it is divisible by the number (14) 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 102357482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169003358208).

102357482304 is an abundant number, since it is smaller than the sum of its proper divisors (235649234112).

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

102357482304 is a wasteful number, since it uses less digits than its factorization.

102357482304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7413 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 102357482304 in words is "one hundred two billion, three hundred fifty-seven million, four hundred eighty-two thousand, three hundred four".