105252264 has 64 divisors (see below), whose sum is σ = 314865600. Its totient is φ = 32384448.

The previous prime is 105252263. The next prime is 105252271. The reversal of 105252264 is 462252501.

It is a super-2 number, since 2×105252264² = 22156078154251392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105252263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15934 + ... + 21549.

It is an arithmetic number, because the mean of its divisors is an integer number (4919775).

Almost surely, 2^105252264 is an apocalyptic number.

It is an amenable number.

105252264 is an abundant number, since it is smaller than the sum of its proper divisors (209613336).

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

105252264 is a wasteful number, since it uses less digits than its factorization.

105252264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37511 (or 37501 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 105252264 is about 10259.2526043567. The cubic root of 105252264 is about 472.1469067756.

The spelling of 105252264 in words is "one hundred five million, two hundred fifty-two thousand, two hundred sixty-four".