106921882368 has 162 divisors, whose sum is σ = 358614303684. Its totient is φ = 30549076992.

The previous prime is 106921882351. The next prime is 106921882423. The reversal of 106921882368 is 863288129601.

106921882368 is a `hidden beast` number, since 1 + 0 + 69 + 218 + 8 + 2 + 368 = 666.

It is a super-2 number, since 2×106921882368² (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, 360646 + ... + 586437.

Almost surely, 2^106921882368 is an apocalyptic number.

106921882368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106921882368 is an abundant number, since it is smaller than the sum of its proper divisors (251692421316).

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

106921882368 is an equidigital number, since it uses as much as digits as its factorization.

106921882368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947119 (or 947095 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 106921882368 in words is "one hundred six billion, nine hundred twenty-one million, eight hundred eighty-two thousand, three hundred sixty-eight".