105013033 has 4 divisors (see below), whose sum is σ = 106052868. Its totient is φ = 103973200.

The previous prime is 105012991. The next prime is 105013039. The reversal of 105013033 is 330310501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 58186384 + 46826649 = 7628^2 + 6843^2 .

It is a cyclic number.

It is not a de Polignac number, because 105013033 - 2¹³ = 105004841 is a prime.

It is a super-2 number, since 2×105013033² = 22055474199718178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105012998 and 105013016.

It is not an unprimeable number, because it can be changed into a prime (105013039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 519766 + ... + 519967.

It is an arithmetic number, because the mean of its divisors is an integer number (26513217).

Almost surely, 2^105013033 is an apocalyptic number.

It is an amenable number.

105013033 is a deficient number, since it is larger than the sum of its proper divisors (1039835).

105013033 is a wasteful number, since it uses less digits than its factorization.

105013033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039834.

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 105013033 is about 10247.5866915094. The cubic root of 105013033 is about 471.7889164957.

Adding to 105013033 its reverse (330310501), we get a palindrome (435323534).

The spelling of 105013033 in words is "one hundred five million, thirteen thousand, thirty-three".