106716505505715 has 48 divisors (see below), whose sum is σ = 213376019620608. Its totient is φ = 48328756550208.

The previous prime is 106716505505711. The next prime is 106716505505737. The reversal of 106716505505715 is 517505505617601.

106716505505715 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 1 + 65 + 0 + 5 + 5 + 0 + 571 + 5 = 666.

It is not a de Polignac number, because 106716505505715 - 2² = 106716505505711 is a prime.

It is a super-2 number, since 2×106716505505715² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106716505505711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1583062357 + ... + 1583129766.

It is an arithmetic number, because the mean of its divisors is an integer number (4445333742096).

Almost surely, 2^{106716505505715} is an apocalyptic number.

106716505505715 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106716505505715 is a deficient number, since it is larger than the sum of its proper divisors (106659514114893).

106716505505715 is a wasteful number, since it uses less digits than its factorization.

106716505505715 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166192248 (or 3166192245 counting only the distinct ones).

The product of its (nonzero) digits is 5512500, while the sum is 54.

The spelling of 106716505505715 in words is "one hundred six trillion, seven hundred sixteen billion, five hundred five million, five hundred five thousand, seven hundred fifteen".