103872900 has 72 divisors (see below), whose sum is σ = 302661184. Its totient is φ = 27504000.

The previous prime is 103872887. The next prime is 103872911. The reversal of 103872900 is 9278301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 44154 + ... + 46446.

Almost surely, 2^103872900 is an apocalyptic number.

103872900 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 103872900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151330592).

103872900 is an abundant number, since it is smaller than the sum of its proper divisors (198788284).

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

103872900 is a wasteful number, since it uses less digits than its factorization.

103872900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 103872900 is about 10191.8055318967. The cubic root of 103872900 is about 470.0752859631.

The spelling of 103872900 in words is "one hundred three million, eight hundred seventy-two thousand, nine hundred".