22105125 has 72 divisors (see below), whose sum is σ = 46469592. Its totient is φ = 10080000.

The previous prime is 22105103. The next prime is 22105147. The reversal of 22105125 is 52150122.

It is an interprime number because it is at equal distance from previous prime (22105103) and next prime (22105147).

It can be written as a sum of positive squares in 4 ways, for example, as 370881 + 21734244 = 609^2 + 4662^2 .

It is not a de Polignac number, because 22105125 - 2¹² = 22101029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22105098 and 22105107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54925 + ... + 55325.

It is an arithmetic number, because the mean of its divisors is an integer number (645411).

Almost surely, 2^22105125 is an apocalyptic number.

22105125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22105125 is an abundant number, since it is smaller than the sum of its proper divisors (24364467).

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

22105125 is a wasteful number, since it uses less digits than its factorization.

22105125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 22105125 is about 4701.6087672200. The cubic root of 22105125 is about 280.6495337370.

Adding to 22105125 its reverse (52150122), we get a palindrome (74255247).

The spelling of 22105125 in words is "twenty-two million, one hundred five thousand, one hundred twenty-five".