102159692400 has 240 divisors, whose sum is σ = 335772846464. Its totient is φ = 26536688640.

The previous prime is 102159692363. The next prime is 102159692413. The reversal of 102159692400 is 4296951201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20482707 + ... + 20487693.

Almost surely, 2^102159692400 is an apocalyptic number.

102159692400 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 102159692400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167886423232).

102159692400 is an abundant number, since it is smaller than the sum of its proper divisors (233613154064).

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

102159692400 is a wasteful number, since it uses less digits than its factorization.

102159692400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 102159692400 in words is "one hundred two billion, one hundred fifty-nine million, six hundred ninety-two thousand, four hundred".