106716614121 has 24 divisors (see below), whose sum is σ = 166014750720. Its totient is φ = 65667360096.

The previous prime is 106716614107. The next prime is 106716614129. The reversal of 106716614121 is 121416617601.

106716614121 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 16 + 614 + 1 + 21 = 666.

It is not a de Polignac number, because 106716614121 - 2⁶ = 106716614057 is a prime.

It is a super-2 number, since 2×106716614121² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106716614129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3003160 + ... + 3038486.

It is an arithmetic number, because the mean of its divisors is an integer number (6917281280).

Almost surely, 2^106716614121 is an apocalyptic number.

It is an amenable number.

106716614121 is a deficient number, since it is larger than the sum of its proper divisors (59298136599).

106716614121 is a wasteful number, since it uses less digits than its factorization.

106716614121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61165 (or 61162 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 106716614121 in words is "one hundred six billion, seven hundred sixteen million, six hundred fourteen thousand, one hundred twenty-one".