105012036 has 18 divisors (see below), whose sum is σ = 265447182. Its totient is φ = 35004000.

The previous prime is 105012001. The next prime is 105012041. The reversal of 105012036 is 630210501.

It can be written as a sum of positive squares in only one way, i.e., 72590400 + 32421636 = 8520^2 + 5694^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105012036² = 22055055409730592, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1458465 + ... + 1458536.

Almost surely, 2^105012036 is an apocalyptic number.

It is an amenable number.

105012036 is an abundant number, since it is smaller than the sum of its proper divisors (160435146).

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

105012036 is a wasteful number, since it uses less digits than its factorization.

105012036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917011 (or 2917006 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105012036 is about 10247.5380457942. The cubic root of 105012036 is about 471.7874234270.

Adding to 105012036 its reverse (630210501), we get a palindrome (735222537).

The spelling of 105012036 in words is "one hundred five million, twelve thousand, thirty-six".