104984640 has 224 divisors, whose sum is σ = 384048000. Its totient is φ = 26966016.

The previous prime is 104984617. The next prime is 104984653. The reversal of 104984640 is 46489401.

It is a happy number.

104984640 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 8 + 4 + 640 = 666.

It is a super-2 number, since 2×104984640² = 22043549271859200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 104984595 and 104984604.

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, 250351 + ... + 250769.

It is an arithmetic number, because the mean of its divisors is an integer number (1714500).

Almost surely, 2^104984640 is an apocalyptic number.

104984640 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 104984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192024000).

104984640 is an abundant number, since it is smaller than the sum of its proper divisors (279063360).

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

104984640 is a wasteful number, since it uses less digits than its factorization.

104984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 104984640 is about 10246.2012472916. The cubic root of 104984640 is about 471.7463925354.

The spelling of 104984640 in words is "one hundred four million, nine hundred eighty-four thousand, six hundred forty".