105633620 has 12 divisors (see below), whose sum is σ = 221830644. Its totient is φ = 42253440.

The previous prime is 105633613. The next prime is 105633623. The reversal of 105633620 is 26336501.

It can be written as a sum of positive squares in 2 ways, for example, as 74407876 + 31225744 = 8626^2 + 5588^2 .

It is a super-2 number, since 2×105633620² = 22316923348608800, 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 105633620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105633623) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2640821 + ... + 2640860.

It is an arithmetic number, because the mean of its divisors is an integer number (18485887).

Almost surely, 2^105633620 is an apocalyptic number.

105633620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105633620 is an abundant number, since it is smaller than the sum of its proper divisors (116197024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105633620 is a wasteful number, since it uses less digits than its factorization.

105633620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281690 (or 5281688 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 105633620 is about 10277.8217536597. The cubic root of 105633620 is about 472.7164559790.

The spelling of 105633620 in words is "one hundred five million, six hundred thirty-three thousand, six hundred twenty".