105122444 has 36 divisors (see below), whose sum is σ = 218993544. Its totient is φ = 44001216.

The previous prime is 105122417. The next prime is 105122453. The reversal of 105122444 is 444221501.

It is a super-2 number, since 2×105122444² = 22101456465066272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2192 + ... + 14664.

It is an arithmetic number, because the mean of its divisors is an integer number (6083154).

Almost surely, 2^105122444 is an apocalyptic number.

105122444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105122444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109496772).

105122444 is an abundant number, since it is smaller than the sum of its proper divisors (113871100).

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

105122444 is a wasteful number, since it uses less digits than its factorization.

105122444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12534 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 105122444 is about 10252.9236805898. The cubic root of 105122444 is about 471.9527088021.

Adding to 105122444 its reverse (444221501), we get a palindrome (549343945).

The spelling of 105122444 in words is "one hundred five million, one hundred twenty-two thousand, four hundred forty-four".