102131200 has 120 divisors (see below), whose sum is σ = 258778080. Its totient is φ = 39936000.

The previous prime is 102131177. The next prime is 102131209. The reversal of 102131200 is 2131201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1011150 + ... + 1011250.

It is an arithmetic number, because the mean of its divisors is an integer number (2156484).

Almost surely, 2^102131200 is an apocalyptic number.

102131200 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 102131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129389040).

102131200 is an abundant number, since it is smaller than the sum of its proper divisors (156646880).

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

102131200 is an equidigital number, since it uses as much as digits as its factorization.

102131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

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

The square root of 102131200 is about 10105.9982188797. The cubic root of 102131200 is about 467.4331169153.

Adding to 102131200 its reverse (2131201), we get a palindrome (104262401).

Subtracting from 102131200 its reverse (2131201), we obtain a palindrome (99999999).

The spelling of 102131200 in words is "one hundred two million, one hundred thirty-one thousand, two hundred".