102257200 has 60 divisors (see below), whose sum is σ = 247445968. Its totient is φ = 40608000.

The previous prime is 102257171. The next prime is 102257231. The reversal of 102257200 is 2752201.

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, 59554 + ... + 61246.

Almost surely, 2^102257200 is an apocalyptic number.

102257200 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 102257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123722984).

102257200 is an abundant number, since it is smaller than the sum of its proper divisors (145188768).

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

102257200 is a wasteful number, since it uses less digits than its factorization.

102257200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 102257200 is about 10112.2302188983. The cubic root of 102257200 is about 467.6252631250.

The spelling of 102257200 in words is "one hundred two million, two hundred fifty-seven thousand, two hundred".