105262042633 has 16 divisors (see below), whose sum is σ = 121797815040. Its totient is φ = 89964248400.

The previous prime is 105262042619. The next prime is 105262042649. The reversal of 105262042633 is 336240262501.

It is a cyclic number.

It is not a de Polignac number, because 105262042633 - 2¹³ = 105262034441 is a prime.

It is a super-2 number, since 2×105262042633² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105262042733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1894935 + ... + 1949692.

It is an arithmetic number, because the mean of its divisors is an integer number (7612363440).

Almost surely, 2^105262042633 is an apocalyptic number.

It is an amenable number.

105262042633 is a deficient number, since it is larger than the sum of its proper divisors (16535772407).

105262042633 is a wasteful number, since it uses less digits than its factorization.

105262042633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844788.

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 105262042633 in words is "one hundred five billion, two hundred sixty-two million, forty-two thousand, six hundred thirty-three".