105264560 has 80 divisors (see below), whose sum is σ = 268911360. Its totient is φ = 38142720.

The previous prime is 105264553. The next prime is 105264569. The reversal of 105264560 is 65462501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105264560² = 22161255183987200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105264569) 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, 33455 + ... + 36465.

It is an arithmetic number, because the mean of its divisors is an integer number (3361392).

Almost surely, 2^105264560 is an apocalyptic number.

105264560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105264560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134455680).

105264560 is an abundant number, since it is smaller than the sum of its proper divisors (163646800).

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

105264560 is a wasteful number, since it uses less digits than its factorization.

105264560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 105264560 is about 10259.8518507823. The cubic root of 105264560 is about 472.1652921040.

The spelling of 105264560 in words is "one hundred five million, two hundred sixty-four thousand, five hundred sixty".