105809331 has 8 divisors (see below), whose sum is σ = 141945280. Its totient is φ = 70106472.

The previous prime is 105809329. The next prime is 105809351. The reversal of 105809331 is 133908501.

It is a happy number.

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

It is not a de Polignac number, because 105809331 - 2¹ = 105809329 is a prime.

It is a super-2 number, since 2×105809331² = 22391229053335122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105809351) 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, 107701 + ... + 108678.

It is an arithmetic number, because the mean of its divisors is an integer number (17743160).

Almost surely, 2^105809331 is an apocalyptic number.

105809331 is a deficient number, since it is larger than the sum of its proper divisors (36135949).

105809331 is a wasteful number, since it uses less digits than its factorization.

105809331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216545.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 105809331 is about 10286.3662680268. The cubic root of 105809331 is about 472.9784163563.

The spelling of 105809331 in words is "one hundred five million, eight hundred nine thousand, three hundred thirty-one".