105820431 has 8 divisors (see below), whose sum is σ = 141300864. Its totient is φ = 70443480.

The previous prime is 105820411. The next prime is 105820441. The reversal of 105820431 is 134028501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105820431 - 2⁵ = 105820399 is a prime.

It is a super-2 number, since 2×105820431² = 22395927234051522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105820411) 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, 23451 + ... + 27596.

It is an arithmetic number, because the mean of its divisors is an integer number (17662608).

Almost surely, 2^105820431 is an apocalyptic number.

105820431 is a deficient number, since it is larger than the sum of its proper divisors (35480433).

105820431 is an equidigital number, since it uses as much as digits as its factorization.

105820431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51741.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105820431 is about 10286.9058030100. The cubic root of 105820431 is about 472.9949551524.

Adding to 105820431 its reverse (134028501), we get a palindrome (239848932).

The spelling of 105820431 in words is "one hundred five million, eight hundred twenty thousand, four hundred thirty-one".