105303264 has 48 divisors (see below), whose sum is σ = 301553280. Its totient is φ = 31909760.

The previous prime is 105303241. The next prime is 105303271. The reversal of 105303264 is 462303501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105303264² = 22177554818107392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48804 + ... + 50915.

It is an arithmetic number, because the mean of its divisors is an integer number (6282360).

Almost surely, 2^105303264 is an apocalyptic number.

It is an amenable number.

105303264 is an abundant number, since it is smaller than the sum of its proper divisors (196250016).

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

105303264 is a wasteful number, since it uses less digits than its factorization.

105303264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99743 (or 99735 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 105303264 is about 10261.7378645140. The cubic root of 105303264 is about 472.2231540794.

Adding to 105303264 its reverse (462303501), we get a palindrome (567606765).

The spelling of 105303264 in words is "one hundred five million, three hundred three thousand, two hundred sixty-four".