106774876800 has 144 divisors (see below), whose sum is σ = 380997332430. Its totient is φ = 28473292800.

The previous prime is 106774876799. The next prime is 106774876841. The reversal of 106774876800 is 8678477601.

106774876800 is a `hidden beast` number, since 10 + 6 + 77 + 487 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 52433672256 + 54341204544 = 228984^2 + 233112^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106774876800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1824931 + ... + 1882530.

Almost surely, 2^106774876800 is an apocalyptic number.

106774876800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106774876800 is an abundant number, since it is smaller than the sum of its proper divisors (274222455630).

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

106774876800 is a wasteful number, since it uses less digits than its factorization.

106774876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707491 (or 3707471 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 106774876800 in words is "one hundred six billion, seven hundred seventy-four million, eight hundred seventy-six thousand, eight hundred".