106516616505615 has 24 divisors (see below), whose sum is σ = 184832361883728. Its totient is φ = 56746228308480.

The previous prime is 106516616505583. The next prime is 106516616505641. The reversal of 106516616505615 is 516505616615601.

106516616505615 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 1 + 6 + 6 + 16 + 5 + 0 + 5 + 615 = 666.

It is not a de Polignac number, because 106516616505615 - 2⁵ = 106516616505583 is a prime.

It is a super-2 number, since 2×106516616505615² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1304830146 + ... + 1304911775.

It is an arithmetic number, because the mean of its divisors is an integer number (7701348411822).

Almost surely, 2^{106516616505615} is an apocalyptic number.

106516616505615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106516616505615 is a deficient number, since it is larger than the sum of its proper divisors (78315745378113).

106516616505615 is a wasteful number, since it uses less digits than its factorization.

106516616505615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609742839 (or 2609742836 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 106516616505615 in words is "one hundred six trillion, five hundred sixteen billion, six hundred sixteen million, five hundred five thousand, six hundred fifteen".