105011264 has 28 divisors (see below), whose sum is σ = 208957164. Its totient is φ = 52360704.

The previous prime is 105011243. The next prime is 105011273. The reversal of 105011264 is 462110501.

It can be written as a sum of positive squares in 2 ways, for example, as 74097664 + 30913600 = 8608^2 + 5560^2 .

It is a super-2 number, since 2×105011264² = 22054731133755392, 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 3 ways as a sum of consecutive naturals, for example, 23342 + ... + 27474.

Almost surely, 2^105011264 is an apocalyptic number.

It is an amenable number.

105011264 is a deficient number, since it is larger than the sum of its proper divisors (103945900).

105011264 is an equidigital number, since it uses as much as digits as its factorization.

105011264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 105011264 is about 10247.5003781410. The cubic root of 105011264 is about 471.7862673030.

Adding to 105011264 its reverse (462110501), we get a palindrome (567121765).

The spelling of 105011264 in words is "one hundred five million, eleven thousand, two hundred sixty-four".