22413400100 has 144 divisors (see below), whose sum is σ = 63382693248. Its totient is φ = 6676162560.

The previous prime is 22413400099. The next prime is 22413400123. The reversal of 22413400100 is 100431422.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82259 + ... + 227141.

It is an arithmetic number, because the mean of its divisors is an integer number (440157592).

Almost surely, 2^22413400100 is an apocalyptic number.

22413400100 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 22413400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31691346624).

22413400100 is an abundant number, since it is smaller than the sum of its proper divisors (40969293148).

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

22413400100 is a wasteful number, since it uses less digits than its factorization.

22413400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144934 (or 144927 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22413400100 its reverse (100431422), we get a palindrome (22513831522).

The spelling of 22413400100 in words is "twenty-two billion, four hundred thirteen million, four hundred thousand, one hundred".