105222331 has 12 divisors (see below), whose sum is σ = 109664352. Its totient is φ = 100913696.

The previous prime is 105222319. The next prime is 105222343. The reversal of 105222331 is 133222501.

It is an interprime number because it is at equal distance from previous prime (105222319) and next prime (105222343).

It is not a de Polignac number, because 105222331 - 2⁹ = 105221819 is a prime.

It is a super-2 number, since 2×105222331² = 22143477882147122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105222299 and 105222308.

It is not an unprimeable number, because it can be changed into a prime (105222301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131625 + ... + 132421.

It is an arithmetic number, because the mean of its divisors is an integer number (9138696).

Almost surely, 2^105222331 is an apocalyptic number.

105222331 is a deficient number, since it is larger than the sum of its proper divisors (4442021).

105222331 is an frugal number, since it uses more digits than its factorization.

105222331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 105222331 is about 10257.7936711556. The cubic root of 105222331 is about 472.1021441175.

Adding to 105222331 its reverse (133222501), we get a palindrome (238444832).

The spelling of 105222331 in words is "one hundred five million, two hundred twenty-two thousand, three hundred thirty-one".