105300264 has 32 divisors (see below), whose sum is σ = 263520000. Its totient is φ = 35064192.

The previous prime is 105300263. The next prime is 105300271. The reversal of 105300264 is 462003501.

It is a happy number.

It is a super-2 number, since 2×105300264² = 22176291196939392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105300264.

It is not an unprimeable number, because it can be changed into a prime (105300263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33012 + ... + 36060.

It is an arithmetic number, because the mean of its divisors is an integer number (8235000).

Almost surely, 2^105300264 is an apocalyptic number.

It is an amenable number.

105300264 is an abundant number, since it is smaller than the sum of its proper divisors (158219736).

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

105300264 is a wasteful number, since it uses less digits than its factorization.

105300264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105300264 is about 10261.5916894018. The cubic root of 105300264 is about 472.2186696255.

Adding to 105300264 its reverse (462003501), we get a palindrome (567303765).

The spelling of 105300264 in words is "one hundred five million, three hundred thousand, two hundred sixty-four".