106165515105 has 32 divisors (see below), whose sum is σ = 203257057920. Its totient is φ = 52266098880.

The previous prime is 106165515061. The next prime is 106165515107. The reversal of 106165515105 is 501515561601.

It is a happy number.

106165515105 is a `hidden beast` number, since 10 + 61 + 65 + 515 + 10 + 5 = 666.

It is not a de Polignac number, because 106165515105 - 2⁹ = 106165514593 is a prime.

It is a super-2 number, since 2×106165515105² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106165515105.

It is not an unprimeable number, because it can be changed into a prime (106165515107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30244831 + ... + 30248340.

It is an arithmetic number, because the mean of its divisors is an integer number (6351783060).

Almost surely, 2^106165515105 is an apocalyptic number.

106165515105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106165515105 is a deficient number, since it is larger than the sum of its proper divisors (97091542815).

106165515105 is a wasteful number, since it uses less digits than its factorization.

106165515105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60493198 (or 60493192 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 106165515105 in words is "one hundred six billion, one hundred sixty-five million, five hundred fifteen thousand, one hundred five".