22101610104 has 192 divisors, whose sum is σ = 75117369600. Its totient is φ = 5943227904.

The previous prime is 22101610079. The next prime is 22101610163. The reversal of 22101610104 is 40101610122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 183567 + ... + 279105.

It is an arithmetic number, because the mean of its divisors is an integer number (391236300).

Almost surely, 2^22101610104 is an apocalyptic number.

22101610104 is a gapful number since it is divisible by the number (24) 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 22101610104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37558684800).

22101610104 is an abundant number, since it is smaller than the sum of its proper divisors (53015759496).

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

22101610104 is a wasteful number, since it uses less digits than its factorization.

22101610104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95584 (or 95568 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22101610104 its sum of digits (18), we get a palindrome (22101610122).

The spelling of 22101610104 in words is "twenty-two billion, one hundred one million, six hundred ten thousand, one hundred four".