105264075 has 48 divisors (see below), whose sum is σ = 204312320. Its totient is φ = 46811520.

The previous prime is 105264053. The next prime is 105264143. The reversal of 105264075 is 570462501.

It is not a de Polignac number, because 105264075 - 2¹⁵ = 105231307 is a prime.

It is a super-2 number, since 2×105264075² = 22161050971211250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16716 + ... + 22134.

Almost surely, 2^105264075 is an apocalyptic number.

105264075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105264075 is a deficient number, since it is larger than the sum of its proper divisors (99048245).

105264075 is a wasteful number, since it uses less digits than its factorization.

105264075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 105264075 is about 10259.8282149362. The cubic root of 105264075 is about 472.1645669453.

The spelling of 105264075 in words is "one hundred five million, two hundred sixty-four thousand, seventy-five".