105264160 has 48 divisors (see below), whose sum is σ = 249613056. Its totient is φ = 41948928.

The previous prime is 105264151. The next prime is 105264163. The reversal of 105264160 is 61462501.

It is a super-2 number, since 2×105264160² = 22161086761011200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105264163) 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, 48049 + ... + 50191.

It is an arithmetic number, because the mean of its divisors is an integer number (5200272).

Almost surely, 2^105264160 is an apocalyptic number.

105264160 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 105264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124806528).

105264160 is an abundant number, since it is smaller than the sum of its proper divisors (144348896).

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

105264160 is a wasteful number, since it uses less digits than its factorization.

105264160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 105264160 is about 10259.8323573049. The cubic root of 105264160 is about 472.1646940351.

The spelling of 105264160 in words is "one hundred five million, two hundred sixty-four thousand, one hundred sixty".