106568399433600 has 384 divisors, whose sum is σ = 420011570143200. Its totient is φ = 26232221122560.

The previous prime is 106568399433583. The next prime is 106568399433631. The reversal of 106568399433600 is 6334993865601.

106568399433600 is a `hidden beast` number, since 1 + 0 + 6 + 56 + 8 + 3 + 99 + 433 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106568399433600² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46316437 + ... + 48562836.

Almost surely, 2^{106568399433600} is an apocalyptic number.

106568399433600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106568399433600 is an abundant number, since it is smaller than the sum of its proper divisors (313443170709600).

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

106568399433600 is a wasteful number, since it uses less digits than its factorization.

106568399433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94879319 (or 94879296 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 106568399433600 in words is "one hundred six trillion, five hundred sixty-eight billion, three hundred ninety-nine million, four hundred thirty-three thousand, six hundred".