105253072 has 20 divisors (see below), whose sum is σ = 204352000. Its totient is φ = 52517088.

The previous prime is 105253067. The next prime is 105253073. The reversal of 105253072 is 270352501.

It is a super-2 number, since 2×105253072² = 22156418330874368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105253073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1393 + ... + 14575.

It is an arithmetic number, because the mean of its divisors is an integer number (10217600).

Almost surely, 2^105253072 is an apocalyptic number.

It is an amenable number.

105253072 is a deficient number, since it is larger than the sum of its proper divisors (99098928).

105253072 is a wasteful number, since it uses less digits than its factorization.

105253072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13690 (or 13684 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 105253072 is about 10259.2919833681. The cubic root of 105253072 is about 472.1481149641.

The spelling of 105253072 in words is "one hundred five million, two hundred fifty-three thousand, seventy-two".