105264275 has 24 divisors (see below), whose sum is σ = 138324480. Its totient is φ = 79241760.

The previous prime is 105264241. The next prime is 105264311. The reversal of 105264275 is 572462501.

It is not a de Polignac number, because 105264275 - 2²⁴ = 88487059 is a prime.

It is a super-2 number, since 2×105264275² = 22161135182551250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78662 + ... + 79988.

It is an arithmetic number, because the mean of its divisors is an integer number (5763520).

Almost surely, 2^105264275 is an apocalyptic number.

105264275 is a deficient number, since it is larger than the sum of its proper divisors (33060205).

105264275 is a wasteful number, since it uses less digits than its factorization.

105264275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 105264275 is about 10259.8379616834. The cubic root of 105264275 is about 472.1648659801.

The spelling of 105264275 in words is "one hundred five million, two hundred sixty-four thousand, two hundred seventy-five".