104988672 has 108 divisors (see below), whose sum is σ = 306707310. Its totient is φ = 34603008.

The previous prime is 104988641. The next prime is 104988677. The reversal of 104988672 is 276889401.

104988672 is a `hidden beast` number, since 10 + 498 + 86 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99680256 + 5308416 = 9984^2 + 2304^2 .

It is a super-2 number, since 2×104988672² = 22045242496647168, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (104988677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1179604 + ... + 1179692.

Almost surely, 2^104988672 is an apocalyptic number.

104988672 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 104988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153353655).

104988672 is an abundant number, since it is smaller than the sum of its proper divisors (201718638).

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

104988672 is an frugal number, since it uses more digits than its factorization.

104988672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 104988672 is about 10246.3980012490. The cubic root of 104988672 is about 471.7524316953.

The spelling of 104988672 in words is "one hundred four million, nine hundred eighty-eight thousand, six hundred seventy-two".