105090 has 32 divisors (see below), whose sum is σ = 262656. Its totient is φ = 26880.

The previous prime is 105071. The next prime is 105097. The reversal of 105090 is 90501.

105090 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×105090² = 22087816200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105097) by changing a digit.

105090 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (8208).

2¹⁰⁵⁰⁹⁰ is an apocalyptic number.

105090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328).

105090 is an abundant number, since it is smaller than the sum of its proper divisors (157566).

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

105090 is a wasteful number, since it uses less digits than its factorization.

105090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 105090 is about 324.1758781896. The cubic root of 105090 is about 47.1904150795.

Adding to 105090 its reverse (90501), we get a palindrome (195591).

The spelling of 105090 in words is "one hundred five thousand, ninety".