104911872 has 176 divisors, whose sum is σ = 313633152. Its totient is φ = 30965760.

The previous prime is 104911867. The next prime is 104911889. The reversal of 104911872 is 278119401.

It is a super-2 number, since 2×104911872² = 22013001773088768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1477597 + ... + 1477667.

Almost surely, 2^104911872 is an apocalyptic number.

104911872 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 104911872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156816576).

104911872 is an abundant number, since it is smaller than the sum of its proper divisors (208721280).

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

104911872 is a wasteful number, since it uses less digits than its factorization.

104911872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 104911872 is about 10242.6496571932. The cubic root of 104911872 is about 471.6373734896.

It can be divided in two parts, 1049 and 11872, that added together give a palindrome (12921).

The spelling of 104911872 in words is "one hundred four million, nine hundred eleven thousand, eight hundred seventy-two".