105215264 has 48 divisors (see below), whose sum is σ = 258261696. Its totient is φ = 40992000.

The previous prime is 105215251. The next prime is 105215269. The reversal of 105215264 is 462512501.

It is a super-2 number, since 2×105215264² = 22140503557179392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105215269) by changing a digit.

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, 18887 + ... + 23814.

It is an arithmetic number, because the mean of its divisors is an integer number (5380452).

Almost surely, 2^105215264 is an apocalyptic number.

105215264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105215264 is an abundant number, since it is smaller than the sum of its proper divisors (153046432).

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

105215264 is a wasteful number, since it uses less digits than its factorization.

105215264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42729 (or 42721 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 105215264 is about 10257.4491955846. The cubic root of 105215264 is about 472.0915746863.

Adding to 105215264 its reverse (462512501), we get a palindrome (567727765).

The spelling of 105215264 in words is "one hundred five million, two hundred fifteen thousand, two hundred sixty-four".