105331122 has 48 divisors (see below), whose sum is σ = 256471488. Its totient is φ = 30998880.

The previous prime is 105331081. The next prime is 105331129. The reversal of 105331122 is 221133501.

105331122 is a `hidden beast` number, since 10 + 533 + 1 + 122 = 666.

It is a super-2 number, since 2×105331122² = 22189290523557768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105331095 and 105331104.

It is not an unprimeable number, because it can be changed into a prime (105331129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4404 + ... + 15167.

It is an arithmetic number, because the mean of its divisors is an integer number (5343156).

Almost surely, 2^105331122 is an apocalyptic number.

105331122 is an abundant number, since it is smaller than the sum of its proper divisors (151140366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105331122 is a wasteful number, since it uses less digits than its factorization.

105331122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19615 (or 19612 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105331122 is about 10263.0951471766. The cubic root of 105331122 is about 472.2647926518.

Adding to 105331122 its reverse (221133501), we get a palindrome (326464623).

The spelling of 105331122 in words is "one hundred five million, three hundred thirty-one thousand, one hundred twenty-two".