106612511517 has 24 divisors (see below), whose sum is σ = 155255162400. Its totient is φ = 70495834848.

The previous prime is 106612511503. The next prime is 106612511557. The reversal of 106612511517 is 715115216601.

106612511517 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 125 + 11 + 517 = 666.

It is not a de Polignac number, because 106612511517 - 2¹⁰ = 106612510493 is a prime.

It is a super-2 number, since 2×106612511517² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106612511557) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 541618 + ... + 711740.

It is an arithmetic number, because the mean of its divisors is an integer number (6468965100).

Almost surely, 2^106612511517 is an apocalyptic number.

It is an amenable number.

106612511517 is a deficient number, since it is larger than the sum of its proper divisors (48642650883).

106612511517 is a wasteful number, since it uses less digits than its factorization.

106612511517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170697 (or 170694 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 106612511517 in words is "one hundred six billion, six hundred twelve million, five hundred eleven thousand, five hundred seventeen".