104882688 has 140 divisors (see below), whose sum is σ = 315315198. Its totient is φ = 34836480.

The previous prime is 104882683. The next prime is 104882693. The reversal of 104882688 is 886288401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104882683) and next prime (104882693).

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 22581504 = 9072^2 + 4752^2 .

It is a super-2 number, since 2×104882688² = 22000756484210688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104882681) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 373108 + ... + 373388.

Almost surely, 2^104882688 is an apocalyptic number.

104882688 is a gapful number since it is divisible by the number (18) 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 104882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157657599).

104882688 is an abundant number, since it is smaller than the sum of its proper divisors (210432510).

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

104882688 is an frugal number, since it uses more digits than its factorization.

104882688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 104882688 is about 10241.2249267361. The cubic root of 104882688 is about 471.5936366486.

It can be divided in two parts, 104882 and 688, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 104882688 in words is "one hundred four million, eight hundred eighty-two thousand, six hundred eighty-eight".