102850100 has 72 divisors (see below), whose sum is σ = 231651840. Its totient is φ = 39611520.

The previous prime is 102850073. The next prime is 102850117. The reversal of 102850100 is 1058201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371162 + ... + 371438.

Almost surely, 2^102850100 is an apocalyptic number.

102850100 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 102850100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115825920).

102850100 is an abundant number, since it is smaller than the sum of its proper divisors (128801740).

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

102850100 is a wasteful number, since it uses less digits than its factorization.

102850100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 102850100 is about 10141.5038332587. The cubic root of 102850100 is about 468.5273051814.

The spelling of 102850100 in words is "one hundred two million, eight hundred fifty thousand, one hundred".