105022972 has 12 divisors (see below), whose sum is σ = 183901536. Its totient is φ = 52479680.

The previous prime is 105022963. The next prime is 105022997. The reversal of 105022972 is 279220501.

It is a super-2 number, since 2×105022972² = 22059649295425568, 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 105022972.

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 3 ways as a sum of consecutive naturals, for example, 468 + ... + 14500.

It is an arithmetic number, because the mean of its divisors is an integer number (15325128).

Almost surely, 2^105022972 is an apocalyptic number.

It is an amenable number.

105022972 is a deficient number, since it is larger than the sum of its proper divisors (78878564).

105022972 is a wasteful number, since it uses less digits than its factorization.

105022972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15908 (or 15906 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 105022972 is about 10248.0716234812. The cubic root of 105022972 is about 471.8038002423.

The spelling of 105022972 in words is "one hundred five million, twenty-two thousand, nine hundred seventy-two".