105036 has 12 divisors (see below), whose sum is σ = 245112. Its totient is φ = 35008.

The previous prime is 105031. The next prime is 105037. The reversal of 105036 is 630501.

105036 = 104² + 105² + ... + 112².

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105036² = 22065122592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4365 + ... + 4388.

It is an arithmetic number, because the mean of its divisors is an integer number (20426).

2¹⁰⁵⁰³⁶ is an apocalyptic number.

It is an amenable number.

105036 is an abundant number, since it is smaller than the sum of its proper divisors (140076).

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

105036 is a wasteful number, since it uses less digits than its factorization.

105036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8760 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 105036 is about 324.0925793658. The cubic root of 105036 is about 47.1823308374.

Adding to 105036 its reverse (630501), we get a palindrome (735537).

The spelling of 105036 in words is "one hundred five thousand, thirty-six".