22400515105100 has 144 divisors (see below), whose sum is σ = 54112213596672. Its totient is φ = 7980180000000.

The previous prime is 22400515105097. The next prime is 22400515105109. The reversal of 22400515105100 is 150151500422.

It is a self number, because there is not a number n which added to its sum of digits gives 22400515105100.

It is not an unprimeable number, because it can be changed into a prime (22400515105109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16177085 + ... + 17507115.

It is an arithmetic number, because the mean of its divisors is an integer number (375779261088).

Almost surely, 2^{22400515105100} is an apocalyptic number.

22400515105100 is a gapful number since it is divisible by the number (20) 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 22400515105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27056106798336).

22400515105100 is an abundant number, since it is smaller than the sum of its proper divisors (31711698491572).

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

22400515105100 is a wasteful number, since it uses less digits than its factorization.

22400515105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330368 (or 1330361 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

Adding to 22400515105100 its reverse (150151500422), we get a palindrome (22550666605522).

The spelling of 22400515105100 in words is "twenty-two trillion, four hundred billion, five hundred fifteen million, one hundred five thousand, one hundred".