103975200 has 216 divisors, whose sum is σ = 419223168. Its totient is φ = 23754240.

The previous prime is 103975187. The next prime is 103975211. The reversal of 103975200 is 2579301.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49369 + ... + 51431.

It is an arithmetic number, because the mean of its divisors is an integer number (1940848).

Almost surely, 2^103975200 is an apocalyptic number.

103975200 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 103975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209611584).

103975200 is an abundant number, since it is smaller than the sum of its proper divisors (315247968).

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

103975200 is a wasteful number, since it uses less digits than its factorization.

103975200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 103975200 is about 10196.8230346515. The cubic root of 103975200 is about 470.2295543800.

The spelling of 103975200 in words is "one hundred three million, nine hundred seventy-five thousand, two hundred".