105840733 has 8 divisors (see below), whose sum is σ = 110664000. Its totient is φ = 101227324.

The previous prime is 105840719. The next prime is 105840751. The reversal of 105840733 is 337048501.

It is not a de Polignac number, because 105840733 - 2⁵ = 105840701 is a prime.

It is a super-2 number, since 2×105840733² = 22404521523954578, 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 = 105840695 and 105840704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105840703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7818 + ... + 16516.

It is an arithmetic number, because the mean of its divisors is an integer number (13833000).

Almost surely, 2^105840733 is an apocalyptic number.

It is an amenable number.

105840733 is a deficient number, since it is larger than the sum of its proper divisors (4823267).

105840733 is an frugal number, since it uses more digits than its factorization.

105840733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8768 (or 8722 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 105840733 is about 10287.8925441511. The cubic root of 105840733 is about 473.0252017675.

The spelling of 105840733 in words is "one hundred five million, eight hundred forty thousand, seven hundred thirty-three".