105164645427 has 24 divisors (see below), whose sum is σ = 158192331648. Its totient is φ = 67247712000.

The previous prime is 105164645389. The next prime is 105164645431. The reversal of 105164645427 is 724546461501.

105164645427 is a `hidden beast` number, since 1 + 0 + 5 + 164 + 64 + 5 + 427 = 666.

It is not a de Polignac number, because 105164645427 - 2¹⁵ = 105164612659 is a prime.

It is a super-2 number, since 2×105164645427² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105164645497) 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 23 ways as a sum of consecutive naturals, for example, 1636324 + ... + 1699377.

It is an arithmetic number, because the mean of its divisors is an integer number (6591347152).

Almost surely, 2^105164645427 is an apocalyptic number.

105164645427 is a deficient number, since it is larger than the sum of its proper divisors (53027686221).

105164645427 is a wasteful number, since it uses less digits than its factorization.

105164645427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335851 (or 3335848 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 105164645427 in words is "one hundred five billion, one hundred sixty-four million, six hundred forty-five thousand, four hundred twenty-seven".