100031200 has 72 divisors (see below), whose sum is σ = 257092920. Its totient is φ = 37900800.

The previous prime is 100031189. The next prime is 100031263. The reversal of 100031200 is 2130001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11910 + ... + 18490.

It is an arithmetic number, because the mean of its divisors is an integer number (3570735).

Almost surely, 2^100031200 is an apocalyptic number.

100031200 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 100031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128546460).

100031200 is an abundant number, since it is smaller than the sum of its proper divisors (157061720).

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

100031200 is a wasteful number, since it uses less digits than its factorization.

100031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6620 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 100031200 is about 10001.5598783390. The cubic root of 100031200 is about 464.2071508657.

Adding to 100031200 its reverse (2130001), we get a palindrome (102161201).

The spelling of 100031200 in words is "one hundred million, thirty-one thousand, two hundred".