103933872 has 120 divisors (see below), whose sum is σ = 346953984. Its totient is φ = 28397952.

The previous prime is 103933867. The next prime is 103933889. The reversal of 103933872 is 278339301.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 20943 + ... + 25425.

Almost surely, 2^103933872 is an apocalyptic number.

103933872 is a gapful number since it is divisible by the number (12) 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 103933872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173476992).

103933872 is an abundant number, since it is smaller than the sum of its proper divisors (243020112).

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

103933872 is a wasteful number, since it uses less digits than its factorization.

103933872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 103933872 is about 10194.7963196917. The cubic root of 103933872 is about 470.1672439367.

The spelling of 103933872 in words is "one hundred three million, nine hundred thirty-three thousand, eight hundred seventy-two".