102057600 has 96 divisors (see below), whose sum is σ = 336183840. Its totient is φ = 27212800.

The previous prime is 102057523. The next prime is 102057617. The reversal of 102057600 is 6750201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4285 + ... + 14915.

It is an arithmetic number, because the mean of its divisors is an integer number (3501915).

Almost surely, 2^102057600 is an apocalyptic number.

102057600 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 102057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168091920).

102057600 is an abundant number, since it is smaller than the sum of its proper divisors (234126240).

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

102057600 is a wasteful number, since it uses less digits than its factorization.

102057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10658 (or 10641 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 102057600 is about 10102.3561608171. The cubic root of 102057600 is about 467.3208060027.

The spelling of 102057600 in words is "one hundred two million, fifty-seven thousand, six hundred".