105224520 has 32 divisors (see below), whose sum is σ = 315673920. Its totient is φ = 28059840.

The previous prime is 105224519. The next prime is 105224521. The reversal of 105224520 is 25422501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105224519) and next prime (105224521).

It is a super-2 number, since 2×105224520² = 22144399218460800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105224521) 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, 438316 + ... + 438555.

It is an arithmetic number, because the mean of its divisors is an integer number (9864810).

Almost surely, 2^105224520 is an apocalyptic number.

105224520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105224520 is an abundant number, since it is smaller than the sum of its proper divisors (210449400).

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

105224520 is a wasteful number, since it uses less digits than its factorization.

105224520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876885 (or 876881 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 105224520 is about 10257.9003699588. The cubic root of 105224520 is about 472.1054178979.

The spelling of 105224520 in words is "one hundred five million, two hundred twenty-four thousand, five hundred twenty".