104977566 has 32 divisors (see below), whose sum is σ = 243429120. Its totient is φ = 33470712.

The previous prime is 104977553. The next prime is 104977591. The reversal of 104977566 is 665779401.

It is a happy number.

104977566 is a `hidden beast` number, since 10 + 4 + 9 + 77 + 566 = 666.

It is a super-2 number, since 2×104977566² = 22040578726568712, which contains 22 as substring.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 41020 + ... + 43503.

It is an arithmetic number, because the mean of its divisors is an integer number (7607160).

Almost surely, 2^104977566 is an apocalyptic number.

104977566 is an abundant number, since it is smaller than the sum of its proper divisors (138451554).

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

104977566 is a wasteful number, since it uses less digits than its factorization.

104977566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84557 (or 84551 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 104977566 is about 10245.8560403707. The cubic root of 104977566 is about 471.7357966713.

The spelling of 104977566 in words is "one hundred four million, nine hundred seventy-seven thousand, five hundred sixty-six".