105453264 has 40 divisors (see below), whose sum is σ = 311339200. Its totient is φ = 30129408.

The previous prime is 105453233. The next prime is 105453347. The reversal of 105453264 is 462354501.

It is a super-2 number, since 2×105453264² = 22240781776507392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156589 + ... + 157260.

It is an arithmetic number, because the mean of its divisors is an integer number (7783480).

Almost surely, 2^105453264 is an apocalyptic number.

105453264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105453264 is an abundant number, since it is smaller than the sum of its proper divisors (205885936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105453264 is a wasteful number, since it uses less digits than its factorization.

105453264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313867 (or 313861 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 105453264 is about 10269.0439671860. The cubic root of 105453264 is about 472.4472682677.

The spelling of 105453264 in words is "one hundred five million, four hundred fifty-three thousand, two hundred sixty-four".