1100105226 has 144 divisors (see below), whose sum is σ = 2826139680. Its totient is φ = 318051360.

The previous prime is 1100105213. The next prime is 1100105239. The reversal of 1100105226 is 6225010011.

It is an interprime number because it is at equal distance from previous prime (1100105213) and next prime (1100105239).

It is a super-2 number, since 2×1100105226² = 2420463016545022152, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100105199 and 1100105208.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2827840 + ... + 2828228.

It is an arithmetic number, because the mean of its divisors is an integer number (19625970).

Almost surely, 2^1100105226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100105226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413069840).

1100105226 is an abundant number, since it is smaller than the sum of its proper divisors (1726034454).

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

1100105226 is a wasteful number, since it uses less digits than its factorization.

1100105226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1100105226 is about 33167.8342072557. The cubic root of 1100105226 is about 1032.3130303788.

Adding to 1100105226 its reverse (6225010011), we get a palindrome (7325115237).

The spelling of 1100105226 in words is "one billion, one hundred million, one hundred five thousand, two hundred twenty-six".