105354164265 has 48 divisors (see below), whose sum is σ = 201387471552. Its totient is φ = 46860218496.

The previous prime is 105354164263. The next prime is 105354164291. The reversal of 105354164265 is 562461453501.

It is not a de Polignac number, because 105354164265 - 2¹ = 105354164263 is a prime.

It is a super-2 number, since 2×105354164265² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105354164263) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1909819 + ... + 1964208.

It is an arithmetic number, because the mean of its divisors is an integer number (4195572324).

Almost surely, 2^105354164265 is an apocalyptic number.

105354164265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105354164265 is a deficient number, since it is larger than the sum of its proper divisors (96033307287).

105354164265 is a wasteful number, since it uses less digits than its factorization.

105354164265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874086 (or 3874079 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 105354164265 in words is "one hundred five billion, three hundred fifty-four million, one hundred sixty-four thousand, two hundred sixty-five".