106512016465314 has 12 divisors (see below), whose sum is σ = 230776035674886. Its totient is φ = 35504005488432.

The previous prime is 106512016465277. The next prime is 106512016465367. The reversal of 106512016465314 is 413564610215601.

106512016465314 is a `hidden beast` number, since 1 + 0 + 6 + 51 + 2 + 0 + 1 + 64 + 6 + 531 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98270047265625 + 8241969199689 = 9913125^2 + 2870883^2 .

It is a super-2 number, since 2×106512016465314² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106512016465314.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2958667124019 + ... + 2958667124054.

Almost surely, 2^{106512016465314} is an apocalyptic number.

106512016465314 is an abundant number, since it is smaller than the sum of its proper divisors (124264019209572).

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

106512016465314 is a wasteful number, since it uses less digits than its factorization.

106512016465314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917334248081 (or 5917334248078 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 106512016465314 in words is "one hundred six trillion, five hundred twelve billion, sixteen million, four hundred sixty-five thousand, three hundred fourteen".