105828031 has 8 divisors (see below), whose sum is σ = 109509840. Its totient is φ = 102201792.

The previous prime is 105828007. The next prime is 105828049. The reversal of 105828031 is 130828501.

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

It is a cyclic number.

It is not a de Polignac number, because 105828031 - 2⁷ = 105827903 is a prime.

It is a super-2 number, since 2×105828031² = 22399144290673922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105828061) 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, 10000 + ... + 17653.

It is an arithmetic number, because the mean of its divisors is an integer number (13688730).

Almost surely, 2^105828031 is an apocalyptic number.

105828031 is a deficient number, since it is larger than the sum of its proper divisors (3681809).

105828031 is an equidigital number, since it uses as much as digits as its factorization.

105828031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27785.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 105828031 is about 10287.2751980298. The cubic root of 105828031 is about 473.0062783458.

The spelling of 105828031 in words is "one hundred five million, eight hundred twenty-eight thousand, thirty-one".