104677920 has 240 divisors, whose sum is σ = 380357208. Its totient is φ = 27095040.

The previous prime is 104677913. The next prime is 104677931. The reversal of 104677920 is 29776401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86936976 + 17740944 = 9324^2 + 4212^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 531262 + ... + 531458.

Almost surely, 2^104677920 is an apocalyptic number.

104677920 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 104677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190178604).

104677920 is an abundant number, since it is smaller than the sum of its proper divisors (275679288).

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

104677920 is a wasteful number, since it uses less digits than its factorization.

104677920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 104677920 is about 10231.2228008191. Note that the first 3 decimals coincide. The cubic root of 104677920 is about 471.2865309977.

The spelling of 104677920 in words is "one hundred four million, six hundred seventy-seven thousand, nine hundred twenty".