105900633 has 12 divisors (see below), whose sum is σ = 161965908. Its totient is φ = 66447360.

The previous prime is 105900593. The next prime is 105900637. The reversal of 105900633 is 336009501.

105900633 is a `hidden beast` number, since 10 + 590 + 0 + 63 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97061904 + 8838729 = 9852^2 + 2973^2 .

It is not a de Polignac number, because 105900633 - 2⁶ = 105900569 is a prime.

It is a super-2 number, since 2×105900633² = 22429888139601378, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105900597 and 105900606.

It is not an unprimeable number, because it can be changed into a prime (105900637) 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, 345928 + ... + 346233.

It is an arithmetic number, because the mean of its divisors is an integer number (13497159).

Almost surely, 2^105900633 is an apocalyptic number.

It is an amenable number.

105900633 is a deficient number, since it is larger than the sum of its proper divisors (56065275).

105900633 is a wasteful number, since it uses less digits than its factorization.

105900633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692184 (or 692181 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 105900633 is about 10290.8033214128. The cubic root of 105900633 is about 473.1144203045.

The spelling of 105900633 in words is "one hundred five million, nine hundred thousand, six hundred thirty-three".