105160224 has 48 divisors (see below), whose sum is σ = 297283392. Its totient is φ = 32356608.

The previous prime is 105160217. The next prime is 105160229. The reversal of 105160224 is 422061501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105160224² = 22117345423460352, 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 105160224.

It is not an unprimeable number, because it can be changed into a prime (105160229) 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, 40884 + ... + 43379.

It is an arithmetic number, because the mean of its divisors is an integer number (6193404).

Almost surely, 2^105160224 is an apocalyptic number.

It is an amenable number.

105160224 is an abundant number, since it is smaller than the sum of its proper divisors (192123168).

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

105160224 is a wasteful number, since it uses less digits than its factorization.

105160224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84289 (or 84281 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105160224 is about 10254.7659163922. The cubic root of 105160224 is about 472.0092404588.

The spelling of 105160224 in words is "one hundred five million, one hundred sixty thousand, two hundred twenty-four".