102057900 has 144 divisors (see below), whose sum is σ = 352310784. Its totient is φ = 22302720.

The previous prime is 102057883. The next prime is 102057947. The reversal of 102057900 is 9750201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47244 + ... + 49356.

Almost surely, 2^102057900 is an apocalyptic number.

102057900 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 102057900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176155392).

102057900 is an abundant number, since it is smaller than the sum of its proper divisors (250252884).

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

102057900 is a wasteful number, since it uses less digits than its factorization.

102057900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 102057900 is about 10102.3710088276. The cubic root of 102057900 is about 467.3212639013.

The spelling of 102057900 in words is "one hundred two million, fifty-seven thousand, nine hundred".