104407776 has 72 divisors (see below), whose sum is σ = 323911224. Its totient is φ = 31637760.

The previous prime is 104407763. The next prime is 104407799. The reversal of 104407776 is 677704401.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 104407776.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13311 + ... + 19646.

It is an arithmetic number, because the mean of its divisors is an integer number (4498767).

Almost surely, 2^104407776 is an apocalyptic number.

104407776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104407776 is an abundant number, since it is smaller than the sum of its proper divisors (219503448).

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

104407776 is a wasteful number, since it uses less digits than its factorization.

104407776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32984 (or 32973 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 104407776 is about 10218.0123311728. The cubic root of 104407776 is about 470.8807628172.

The spelling of 104407776 in words is "one hundred four million, four hundred seven thousand, seven hundred seventy-six".