105164461257 has 16 divisors (see below), whose sum is σ = 146161730880. Its totient is φ = 67175326400.

The previous prime is 105164461249. The next prime is 105164461291. The reversal of 105164461257 is 752164461501.

It is a cyclic number.

It is not a de Polignac number, because 105164461257 - 2³ = 105164461249 is a prime.

It is a super-2 number, since 2×105164461257² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105164461247) 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 15 ways as a sum of consecutive naturals, for example, 4602294 + ... + 4625087.

It is an arithmetic number, because the mean of its divisors is an integer number (9135108180).

Almost surely, 2^105164461257 is an apocalyptic number.

It is an amenable number.

105164461257 is a deficient number, since it is larger than the sum of its proper divisors (40997269623).

105164461257 is a wasteful number, since it uses less digits than its factorization.

105164461257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9227544.

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 105164461257 in words is "one hundred five billion, one hundred sixty-four million, four hundred sixty-one thousand, two hundred fifty-seven".