104287680 has 252 divisors, whose sum is σ = 417835080. Its totient is φ = 23804928.

The previous prime is 104287679. The next prime is 104287691. The reversal of 104287680 is 86782401.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140751 + ... + 141489.

Almost surely, 2^104287680 is an apocalyptic number.

104287680 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 104287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208917540).

104287680 is an abundant number, since it is smaller than the sum of its proper divisors (313547400).

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

104287680 is a wasteful number, since it uses less digits than its factorization.

104287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 104287680 is about 10212.1339591684. The cubic root of 104287680 is about 470.7001485792.

The spelling of 104287680 in words is "one hundred four million, two hundred eighty-seven thousand, six hundred eighty".