105224660 has 24 divisors (see below), whose sum is σ = 232602720. Its totient is φ = 39874464.

The previous prime is 105224599. The next prime is 105224677. The reversal of 105224660 is 66422501.

It is a super-2 number, since 2×105224660² = 22144458144231200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138074 + ... + 138833.

It is an arithmetic number, because the mean of its divisors is an integer number (9691780).

Almost surely, 2^105224660 is an apocalyptic number.

105224660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105224660 is an abundant number, since it is smaller than the sum of its proper divisors (127378060).

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

105224660 is a wasteful number, since it uses less digits than its factorization.

105224660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276935 (or 276933 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 105224660 is about 10257.9071939651. The cubic root of 105224660 is about 472.1056272748.

The spelling of 105224660 in words is "one hundred five million, two hundred twenty-four thousand, six hundred sixty".