105252320 has 24 divisors (see below), whose sum is σ = 248658984. Its totient is φ = 42100864.

The previous prime is 105252319. The next prime is 105252331. The reversal of 105252320 is 23252501.

It is a super-2 number, since 2×105252320² = 22156101730764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105252292 and 105252301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 328754 + ... + 329073.

It is an arithmetic number, because the mean of its divisors is an integer number (10360791).

Almost surely, 2^105252320 is an apocalyptic number.

105252320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105252320 is an abundant number, since it is smaller than the sum of its proper divisors (143406664).

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

105252320 is an equidigital number, since it uses as much as digits as its factorization.

105252320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657842 (or 657834 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105252320 is about 10259.2553336000. The cubic root of 105252320 is about 472.1469905116.

The spelling of 105252320 in words is "one hundred five million, two hundred fifty-two thousand, three hundred twenty".