105105140 has 48 divisors (see below), whose sum is σ = 258418944. Its totient is φ = 35155200.

The previous prime is 105105109. The next prime is 105105163. The reversal of 105105140 is 41501501.

It is a super-2 number, since 2×105105140² = 22094180908839200, 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, 3416 + ... + 14895.

It is an arithmetic number, because the mean of its divisors is an integer number (5383728).

Almost surely, 2^105105140 is an apocalyptic number.

105105140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105105140 is an abundant number, since it is smaller than the sum of its proper divisors (153313804).

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

105105140 is a wasteful number, since it uses less digits than its factorization.

105105140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18368 (or 18366 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 105105140 is about 10252.0797889989. The cubic root of 105105140 is about 471.9268116435.

Adding to 105105140 its reverse (41501501), we get a palindrome (146606641).

The spelling of 105105140 in words is "one hundred five million, one hundred five thousand, one hundred forty".