106057318065 has 16 divisors (see below), whose sum is σ = 169732050048. Its totient is φ = 56550455936.

The previous prime is 106057318049. The next prime is 106057318097. The reversal of 106057318065 is 560813750601.

It is a cyclic number.

It is not a de Polignac number, because 106057318065 - 2⁴ = 106057318049 is a prime.

It is a super-2 number, since 2×106057318065² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775077 + ... + 901586.

It is an arithmetic number, because the mean of its divisors is an integer number (10608253128).

Almost surely, 2^106057318065 is an apocalyptic number.

106057318065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106057318065 is a deficient number, since it is larger than the sum of its proper divisors (63674731983).

106057318065 is a wasteful number, since it uses less digits than its factorization.

106057318065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680888.

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 106057318065 in words is "one hundred six billion, fifty-seven million, three hundred eighteen thousand, sixty-five".