106416718557864 has 256 divisors, whose sum is σ = 336547177344000. Its totient is φ = 27541072343040.

The previous prime is 106416718557841. The next prime is 106416718557871. The reversal of 106416718557864 is 468755817614601.

It is a super-2 number, since 2×106416718557864² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12014934 + ... + 18899525.

It is an arithmetic number, because the mean of its divisors is an integer number (1314637411500).

Almost surely, 2^{106416718557864} is an apocalyptic number.

It is an amenable number.

106416718557864 is an abundant number, since it is smaller than the sum of its proper divisors (230130458786136).

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

106416718557864 is a wasteful number, since it uses less digits than its factorization.

106416718557864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30914568 (or 30914564 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 69.

The spelling of 106416718557864 in words is "one hundred six trillion, four hundred sixteen billion, seven hundred eighteen million, five hundred fifty-seven thousand, eight hundred sixty-four".