105122528 has 48 divisors (see below), whose sum is σ = 239228640. Its totient is φ = 44537856.

The previous prime is 105122527. The next prime is 105122557. The reversal of 105122528 is 825221501.

It is a super-2 number, since 2×105122528² = 22101491786221568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105122497 and 105122506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105122527) 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, 17300 + ... + 22572.

It is an arithmetic number, because the mean of its divisors is an integer number (4983930).

Almost surely, 2^105122528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105122528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119614320).

105122528 is an abundant number, since it is smaller than the sum of its proper divisors (134106112).

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

105122528 is an equidigital number, since it uses as much as digits as its factorization.

105122528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379 (or 5371 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 105122528 is about 10252.9277769816. The cubic root of 105122528 is about 471.9528345095.

The spelling of 105122528 in words is "one hundred five million, one hundred twenty-two thousand, five hundred twenty-eight".