105318420 has 48 divisors (see below), whose sum is σ = 300464640. Its totient is φ = 27554176.

The previous prime is 105318419. The next prime is 105318461. The reversal of 105318420 is 24813501.

It is a super-2 number, since 2×105318420² = 22183939182592800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13380 + ... + 19739.

It is an arithmetic number, because the mean of its divisors is an integer number (6259680).

Almost surely, 2^105318420 is an apocalyptic number.

105318420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105318420 is an abundant number, since it is smaller than the sum of its proper divisors (195146220).

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

105318420 is a wasteful number, since it uses less digits than its factorization.

105318420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33184 (or 33182 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105318420 is about 10262.4763093515. The cubic root of 105318420 is about 472.2458082388.

The spelling of 105318420 in words is "one hundred five million, three hundred eighteen thousand, four hundred twenty".