105810138 has 40 divisors (see below), whose sum is σ = 270966432. Its totient is φ = 30231144.

The previous prime is 105810119. The next prime is 105810139. The reversal of 105810138 is 831018501.

It is a super-2 number, since 2×105810138² = 22391570607158088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105810139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45520 + ... + 47787.

Almost surely, 2^105810138 is an apocalyptic number.

105810138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105810138 is an abundant number, since it is smaller than the sum of its proper divisors (165156294).

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

105810138 is an equidigital number, since it uses as much as digits as its factorization.

105810138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93328 (or 93319 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 105810138 is about 10286.4054946322. The cubic root of 105810138 is about 472.9796188105.

Adding to 105810138 its reverse (831018501), we get a palindrome (936828639).

The spelling of 105810138 in words is "one hundred five million, eight hundred ten thousand, one hundred thirty-eight".