105309140 has 24 divisors (see below), whose sum is σ = 225856512. Its totient is φ = 41227040.

The previous prime is 105309137. The next prime is 105309173. The reversal of 105309140 is 41903501.

It is a happy number.

105309140 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105309140² = 22180029935079200, which contains 22 as substring.

105309140 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55076 + ... + 56955.

It is an arithmetic number, because the mean of its divisors is an integer number (9410688).

Almost surely, 2^105309140 is an apocalyptic number.

105309140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105309140 is an abundant number, since it is smaller than the sum of its proper divisors (120547372).

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

105309140 is a wasteful number, since it uses less digits than its factorization.

105309140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112087 (or 112085 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 105309140 is about 10262.0241668006. The cubic root of 105309140 is about 472.2319373831.

The spelling of 105309140 in words is "one hundred five million, three hundred nine thousand, one hundred forty".