102052300 has 108 divisors (see below), whose sum is σ = 262717560. Its totient is φ = 34298880.

The previous prime is 102052277. The next prime is 102052303. The reversal of 102052300 is 3250201.

It is not an unprimeable number, because it can be changed into a prime (102052303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288924 + ... + 289276.

It is an arithmetic number, because the mean of its divisors is an integer number (2432570).

Almost surely, 2^102052300 is an apocalyptic number.

102052300 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 102052300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131358780).

102052300 is an abundant number, since it is smaller than the sum of its proper divisors (160665260).

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

102052300 is a wasteful number, since it uses less digits than its factorization.

102052300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 102052300 is about 10102.0938423675. The cubic root of 102052300 is about 467.3127163124.

The spelling of 102052300 in words is "one hundred two million, fifty-two thousand, three hundred".