105166665597 has 32 divisors (see below), whose sum is σ = 168710149120. Its totient is φ = 56924985600.

The previous prime is 105166665553. The next prime is 105166665647. The reversal of 105166665597 is 795566661501.

It is not a de Polignac number, because 105166665597 - 2⁶ = 105166665533 is a prime.

It is a super-2 number, since 2×105166665597² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105166661597) 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, 4758222 + ... + 4780272.

It is an arithmetic number, because the mean of its divisors is an integer number (5272192160).

Almost surely, 2^105166665597 is an apocalyptic number.

It is an amenable number.

105166665597 is a deficient number, since it is larger than the sum of its proper divisors (63543483523).

105166665597 is a wasteful number, since it uses less digits than its factorization.

105166665597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34033.

The product of its (nonzero) digits is 10206000, while the sum is 57.

The spelling of 105166665597 in words is "one hundred five billion, one hundred sixty-six million, six hundred sixty-five thousand, five hundred ninety-seven".