105105138 has 8 divisors (see below), whose sum is σ = 210210288. Its totient is φ = 35035044.

The previous prime is 105105109. The next prime is 105105163. The reversal of 105105138 is 831501501.

It is a sphenic number, since it is the product of 3 distinct primes.

105105138 is an admirable number.

It is a super-2 number, since 2×105105138² = 22094180067998088, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8758756 + ... + 8758767.

It is an arithmetic number, because the mean of its divisors is an integer number (26276286).

Almost surely, 2^105105138 is an apocalyptic number.

105105138 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105105138 is a wasteful number, since it uses less digits than its factorization.

105105138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17517528.

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 105105138 is about 10252.0796914577. The cubic root of 105105138 is about 471.9268086501.

Adding to 105105138 its reverse (831501501), we get a palindrome (936606639).

The spelling of 105105138 in words is "one hundred five million, one hundred five thousand, one hundred thirty-eight".