105138 has 40 divisors (see below), whose sum is σ = 261360. Its totient is φ = 31320.

The previous prime is 105137. The next prime is 105143. The reversal of 105138 is 831501.

It is a happy number.

It is a super-2 number, since 2×105138² = 22107998088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105138.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105138.

It is not an unprimeable number, because it can be changed into a prime (105137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1753 + ... + 1811.

It is an arithmetic number, because the mean of its divisors is an integer number (6534).

2¹⁰⁵¹³⁸ is an apocalyptic number.

105138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130680).

105138 is an abundant number, since it is smaller than the sum of its proper divisors (156222).

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

105138 is a wasteful number, since it uses less digits than its factorization.

105138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105138 is about 324.2499036237. The cubic root of 105138 is about 47.1975987479.

Adding to 105138 its reverse (831501), we get a palindrome (936639).

It can be divided in two parts, 1051 and 38, that added together give a square (1089 = 33²).

The spelling of 105138 in words is "one hundred five thousand, one hundred thirty-eight".