106165660051 has 16 divisors (see below), whose sum is σ = 116631900000. Its totient is φ = 95837529600.

The previous prime is 106165660019. The next prime is 106165660079. The reversal of 106165660051 is 150066561601.

It is a cyclic number.

It is not a de Polignac number, because 106165660051 - 2⁵ = 106165660019 is a prime.

It is a super-2 number, since 2×106165660051² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106165660451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867825 + ... + 982573.

It is an arithmetic number, because the mean of its divisors is an integer number (7289493750).

Almost surely, 2^106165660051 is an apocalyptic number.

106165660051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106165660051 is a deficient number, since it is larger than the sum of its proper divisors (10466239949).

106165660051 is a wasteful number, since it uses less digits than its factorization.

106165660051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115350.

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 106165660051 in words is "one hundred six billion, one hundred sixty-five million, six hundred sixty thousand, fifty-one".