105515264 has 36 divisors (see below), whose sum is σ = 211400700. Its totient is φ = 52561920.

The previous prime is 105515261. The next prime is 105515281. The reversal of 105515264 is 462515501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 88209664 + 17305600 = 9392^2 + 4160^2 .

It is a super-2 number, since 2×105515264² = 22266941873979392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105515261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88754 + ... + 89934.

Almost surely, 2^105515264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105515264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105700350).

105515264 is an abundant number, since it is smaller than the sum of its proper divisors (105885436).

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

105515264 is an equidigital number, since it uses as much as digits as its factorization.

105515264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 105515264 is about 10272.0623051070. The cubic root of 105515264 is about 472.5398400568.

The spelling of 105515264 in words is "one hundred five million, five hundred fifteen thousand, two hundred sixty-four".