105001012 has 18 divisors (see below), whose sum is σ = 188137698. Its totient is φ = 51275952.

The previous prime is 105001007. The next prime is 105001019. The reversal of 105001012 is 210100501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 104734756 + 266256 = 10234^2 + 516^2 .

It is a super-2 number, since 2×105001012² = 22050425042048288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105001019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 298 + ... + 14494.

Almost surely, 2^105001012 is an apocalyptic number.

It is an amenable number.

105001012 is a deficient number, since it is larger than the sum of its proper divisors (83136686).

105001012 is a wasteful number, since it uses less digits than its factorization.

105001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14287 (or 14242 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 105001012 is about 10247.0001463843. Note that the first 3 decimals coincide. The cubic root of 105001012 is about 471.7709136796.

Adding to 105001012 its reverse (210100501), we get a palindrome (315101513).

The spelling of 105001012 in words is "one hundred five million, one thousand, twelve".