106616515167 has 8 divisors (see below), whose sum is σ = 157950392880. Its totient is φ = 71077676760.

The previous prime is 106616515129. The next prime is 106616515177. The reversal of 106616515167 is 761515616601.

106616515167 is a `hidden beast` number, since 1 + 0 + 6 + 616 + 5 + 15 + 16 + 7 = 666.

It is not a de Polignac number, because 106616515167 - 2⁸ = 106616514911 is a prime.

It is a super-2 number, since 2×106616515167² (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 (106616515177) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1974379884 + ... + 1974379937.

It is an arithmetic number, because the mean of its divisors is an integer number (19743799110).

Almost surely, 2^106616515167 is an apocalyptic number.

106616515167 is a deficient number, since it is larger than the sum of its proper divisors (51333877713).

106616515167 is an equidigital number, since it uses as much as digits as its factorization.

106616515167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948759830 (or 3948759824 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 106616515167 in words is "one hundred six billion, six hundred sixteen million, five hundred fifteen thousand, one hundred sixty-seven".