106616096631 has 12 divisors (see below), whose sum is σ = 168001122120. Its totient is φ = 64615816080.

The previous prime is 106616096621. The next prime is 106616096647. The reversal of 106616096631 is 136690616601.

106616096631 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 1 + 6 + 0 + 9 + 6 + 631 = 666.

It is not a de Polignac number, because 106616096631 - 2⁵ = 106616096599 is a prime.

It is a super-2 number, since 2×106616096631² (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 (106616096621) 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 11 ways as a sum of consecutive naturals, for example, 538465036 + ... + 538465233.

It is an arithmetic number, because the mean of its divisors is an integer number (14000093510).

Almost surely, 2^106616096631 is an apocalyptic number.

106616096631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106616096631 is a deficient number, since it is larger than the sum of its proper divisors (61385025489).

106616096631 is a wasteful number, since it uses less digits than its factorization.

106616096631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076930286 (or 1076930283 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 106616096631 in words is "one hundred six billion, six hundred sixteen million, ninety-six thousand, six hundred thirty-one".