105942300 has 72 divisors (see below), whose sum is σ = 324572976. Its totient is φ = 26588160.

The previous prime is 105942293. The next prime is 105942311. The reversal of 105942300 is 3249501.

It is a super-2 number, since 2×105942300² = 22447541858580000, 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5287 + ... + 15486.

It is an arithmetic number, because the mean of its divisors is an integer number (4507958).

Almost surely, 2^105942300 is an apocalyptic number.

105942300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105942300 is an abundant number, since it is smaller than the sum of its proper divisors (218630676).

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

105942300 is a wasteful number, since it uses less digits than its factorization.

105942300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20807 (or 20800 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105942300 is about 10292.8275998386. The cubic root of 105942300 is about 473.1764617143.

The spelling of 105942300 in words is "one hundred five million, nine hundred forty-two thousand, three hundred".