104905472 has 54 divisors (see below), whose sum is σ = 243618228. Its totient is φ = 44954112.

The previous prime is 104905469. The next prime is 104905483. The reversal of 104905472 is 274509401.

It is a happy number.

It is a super-2 number, since 2×104905472² = 22010316111085568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8363 + ... + 16725.

Almost surely, 2^104905472 is an apocalyptic number.

104905472 is the 8363-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104905472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121809114).

104905472 is an abundant number, since it is smaller than the sum of its proper divisors (138712756).

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

104905472 is an frugal number, since it uses more digits than its factorization.

104905472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8393 (or 8372 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 104905472 is about 10242.3372332686. The cubic root of 104905472 is about 471.6277827715.

The spelling of 104905472 in words is "one hundred four million, nine hundred five thousand, four hundred seventy-two".