106889866416 has 60 divisors (see below), whose sum is σ = 299188741072. Its totient is φ = 35624527488.

The previous prime is 106889866397. The next prime is 106889866439. The reversal of 106889866416 is 614668988601.

106889866416 is a `hidden beast` number, since 1 + 0 + 68 + 89 + 86 + 6 + 416 = 666.

It is a super-2 number, since 2×106889866416² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 954525 + ... + 1060611.

Almost surely, 2^106889866416 is an apocalyptic number.

106889866416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106889866416 is an abundant number, since it is smaller than the sum of its proper divisors (192298874656).

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

106889866416 is a wasteful number, since it uses less digits than its factorization.

106889866416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113098 (or 113089 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 106889866416 in words is "one hundred six billion, eight hundred eighty-nine million, eight hundred sixty-six thousand, four hundred sixteen".