226104160100 has 288 divisors, whose sum is σ = 616363050240. Its totient is φ = 70087311360.

The previous prime is 226104160097. The next prime is 226104160103. The reversal of 226104160100 is 1061401622.

It is an interprime number because it is at equal distance from previous prime (226104160097) and next prime (226104160103).

It is a super-2 number, since 2×226104160100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226104160103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189525104 + ... + 189526296.

It is an arithmetic number, because the mean of its divisors is an integer number (2140149480).

Almost surely, 2^226104160100 is an apocalyptic number.

226104160100 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 226104160100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308181525120).

226104160100 is an abundant number, since it is smaller than the sum of its proper divisors (390258890140).

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

226104160100 is a wasteful number, since it uses less digits than its factorization.

226104160100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 226104160100 its reverse (1061401622), we get a palindrome (227165561722).

The spelling of 226104160100 in words is "two hundred twenty-six billion, one hundred four million, one hundred sixty thousand, one hundred".