104908272 has 80 divisors (see below), whose sum is σ = 326050560. Its totient is φ = 28394496.

The previous prime is 104908169. The next prime is 104908273. The reversal of 104908272 is 272809401.

It is a happy number.

It is a super-2 number, since 2×104908272² = 22011491068051968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104908273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1833 + ... + 14600.

It is an arithmetic number, because the mean of its divisors is an integer number (4075632).

Almost surely, 2^104908272 is an apocalyptic number.

104908272 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 104908272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163025280).

104908272 is an abundant number, since it is smaller than the sum of its proper divisors (221142288).

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

104908272 is a wasteful number, since it uses less digits than its factorization.

104908272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16470 (or 16464 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 104908272 is about 10242.4739199082. The cubic root of 104908272 is about 471.6319787587.

The spelling of 104908272 in words is "one hundred four million, nine hundred eight thousand, two hundred seventy-two".