22150153312105 has 96 divisors (see below), whose sum is σ = 33731038656000. Its totient is φ = 13838210201088.

The previous prime is 22150153312051. The next prime is 22150153312109. The reversal of 22150153312105 is 50121335105122.

It is a happy number.

It is not a de Polignac number, because 22150153312105 - 2⁹ = 22150153311593 is a prime.

It is a super-2 number, since 2×22150153312105² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22150153312109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 848684346 + ... + 848710444.

It is an arithmetic number, because the mean of its divisors is an integer number (351364986000).

Almost surely, 2^{22150153312105} is an apocalyptic number.

It is an amenable number.

22150153312105 is a deficient number, since it is larger than the sum of its proper divisors (11580885343895).

22150153312105 is a wasteful number, since it uses less digits than its factorization.

22150153312105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29583 (or 29576 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

Adding to 22150153312105 its reverse (50121335105122), we get a palindrome (72271488417227).

The spelling of 22150153312105 in words is "twenty-two trillion, one hundred fifty billion, one hundred fifty-three million, three hundred twelve thousand, one hundred five".