104095872 has 96 divisors (see below), whose sum is σ = 302659500. Its totient is φ = 34338816.

The previous prime is 104095847. The next prime is 104095903. The reversal of 104095872 is 278590401.

It can be written as a sum of positive squares in 2 ways, for example, as 102090816 + 2005056 = 10104^2 + 1416^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 125154 + ... + 125982.

Almost surely, 2^104095872 is an apocalyptic number.

104095872 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 104095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151329750).

104095872 is an abundant number, since it is smaller than the sum of its proper divisors (198563628).

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

104095872 is a wasteful number, since it uses less digits than its factorization.

104095872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 104095872 is about 10202.7384559245. The cubic root of 104095872 is about 470.4113977524.

The spelling of 104095872 in words is "one hundred four million, ninety-five thousand, eight hundred seventy-two".