106011660051 has 24 divisors (see below), whose sum is σ = 176875071984. Its totient is φ = 60470108160.

The previous prime is 106011660047. The next prime is 106011660059. The reversal of 106011660051 is 150066110601.

106011660051 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 1 + 1 + 6 + 600 + 51 = 666.

It is not a de Polignac number, because 106011660051 - 2² = 106011660047 is a prime.

It is a super-2 number, since 2×106011660051² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106011659997 and 106011660024.

It is not an unprimeable number, because it can be changed into a prime (106011660059) 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, 31493166 + ... + 31496531.

It is an arithmetic number, because the mean of its divisors is an integer number (7369794666).

Almost surely, 2^106011660051 is an apocalyptic number.

106011660051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106011660051 is a deficient number, since it is larger than the sum of its proper divisors (70863411933).

106011660051 is a wasteful number, since it uses less digits than its factorization.

106011660051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62989731 (or 62989728 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 106011660051 its reverse (150066110601), we get a palindrome (256077770652).

The spelling of 106011660051 in words is "one hundred six billion, eleven million, six hundred sixty thousand, fifty-one".