100131200 has 192 divisors, whose sum is σ = 278888400. Its totient is φ = 35266560.

The previous prime is 100131193. The next prime is 100131211. The reversal of 100131200 is 2131001.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 1206359 + ... + 1206441.

Almost surely, 2^100131200 is an apocalyptic number.

100131200 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 100131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139444200).

100131200 is an abundant number, since it is smaller than the sum of its proper divisors (178757200).

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

100131200 is a wasteful number, since it uses less digits than its factorization.

100131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100131200 is about 10006.5578497303. The cubic root of 100131200 is about 464.3617868024.

Adding to 100131200 its reverse (2131001), we get a palindrome (102262201).

The spelling of 100131200 in words is "one hundred million, one hundred thirty-one thousand, two hundred".