103981200 has 120 divisors (see below), whose sum is σ = 337933728. Its totient is φ = 27325440.

The previous prime is 103981193. The next prime is 103981247. The reversal of 103981200 is 2189301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 87007 + ... + 88193.

Almost surely, 2^103981200 is an apocalyptic number.

103981200 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 103981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168966864).

103981200 is an abundant number, since it is smaller than the sum of its proper divisors (233952528).

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

103981200 is a wasteful number, since it uses less digits than its factorization.

103981200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 103981200 is about 10197.1172396908. The cubic root of 103981200 is about 470.2385992390.

The spelling of 103981200 in words is "one hundred three million, nine hundred eighty-one thousand, two hundred".