105012037 has 12 divisors (see below), whose sum is σ = 114372804. Its totient is φ = 96370560.

The previous prime is 105012001. The next prime is 105012041. The reversal of 105012037 is 730210501.

It can be written as a sum of positive squares in 6 ways, for example, as 55815841 + 49196196 = 7471^2 + 7014^2 .

It is not a de Polignac number, because 105012037 - 2¹⁵ = 104979269 is a prime.

It is a super-2 number, since 2×105012037² = 22055055829778738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105012437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28873 + ... + 32305.

It is an arithmetic number, because the mean of its divisors is an integer number (9531067).

Almost surely, 2^105012037 is an apocalyptic number.

It is an amenable number.

105012037 is a deficient number, since it is larger than the sum of its proper divisors (9360767).

105012037 is a wasteful number, since it uses less digits than its factorization.

105012037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 105012037 is about 10247.5380945864. The cubic root of 105012037 is about 471.7874249245.

Adding to 105012037 its reverse (730210501), we get a palindrome (835222538).

The spelling of 105012037 in words is "one hundred five million, twelve thousand, thirty-seven".