105120331 has 16 divisors (see below), whose sum is σ = 115603200. Its totient is φ = 95201568.

The previous prime is 105120319. The next prime is 105120347. The reversal of 105120331 is 133021501.

It is a cyclic number.

It is not a de Polignac number, because 105120331 - 2⁷ = 105120203 is a prime.

It is a super-2 number, since 2×105120331² = 22100567979099122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105120361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58066 + ... + 59848.

It is an arithmetic number, because the mean of its divisors is an integer number (7225200).

Almost surely, 2^105120331 is an apocalyptic number.

105120331 is a deficient number, since it is larger than the sum of its proper divisors (10482869).

105120331 is a wasteful number, since it uses less digits than its factorization.

105120331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 105120331 is about 10252.8206362932. The cubic root of 105120331 is about 471.9495466396.

Adding to 105120331 its reverse (133021501), we get a palindrome (238141832).

The spelling of 105120331 in words is "one hundred five million, one hundred twenty thousand, three hundred thirty-one".