104677440 has 224 divisors, whose sum is σ = 391021824. Its totient is φ = 23224320.

The previous prime is 104677429. The next prime is 104677451. The reversal of 104677440 is 44776401.

It is an interprime number because it is at equal distance from previous prime (104677429) and next prime (104677451).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248430 + ... + 248850.

Almost surely, 2^104677440 is an apocalyptic number.

104677440 is a gapful number since it is divisible by the number (10) 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 104677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195510912).

104677440 is an abundant number, since it is smaller than the sum of its proper divisors (286344384).

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

104677440 is a wasteful number, since it uses less digits than its factorization.

104677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 104677440 is about 10231.1993431855. The cubic root of 104677440 is about 471.2858106360.

The spelling of 104677440 in words is "one hundred four million, six hundred seventy-seven thousand, four hundred forty".