105955331 has 8 divisors (see below), whose sum is σ = 107291184. Its totient is φ = 104624640.

The previous prime is 105955307. The next prime is 105955337. The reversal of 105955331 is 133559501.

It is a happy number.

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 105955331 - 2¹⁸ = 105693187 is a prime.

It is a super-2 number, since 2×105955331² = 22453064334639122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105955337) 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, 54431 + ... + 56343.

It is an arithmetic number, because the mean of its divisors is an integer number (13411398).

Almost surely, 2^105955331 is an apocalyptic number.

105955331 is a deficient number, since it is larger than the sum of its proper divisors (1335853).

105955331 is an equidigital number, since it uses as much as digits as its factorization.

105955331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581.

The product of its (nonzero) digits is 10125, while the sum is 32.

The square root of 105955331 is about 10293.4605939888. The cubic root of 105955331 is about 473.1958612984.

The spelling of 105955331 in words is "one hundred five million, nine hundred fifty-five thousand, three hundred thirty-one".