102312100 has 72 divisors (see below), whose sum is σ = 243796896. Its totient is φ = 36960000.

The previous prime is 102312083. The next prime is 102312139. The reversal of 102312100 is 1213201.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 308935 + ... + 309265.

It is an arithmetic number, because the mean of its divisors is an integer number (3386068).

Almost surely, 2^102312100 is an apocalyptic number.

102312100 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 102312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121898448).

102312100 is an abundant number, since it is smaller than the sum of its proper divisors (141484796).

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

102312100 is a wasteful number, since it uses less digits than its factorization.

102312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 102312100 is about 10114.9443893676. The cubic root of 102312100 is about 467.7089346055.

Adding to 102312100 its reverse (1213201), we get a palindrome (103525301).

The spelling of 102312100 in words is "one hundred two million, three hundred twelve thousand, one hundred".