11322440100 has 162 divisors, whose sum is σ = 37456814850. Its totient is φ = 2860323840.

The previous prime is 11322440099. The next prime is 11322440111. The reversal of 11322440100 is 104422311.

It can be written as a sum of positive squares in 3 ways, for example, as 33802596 + 11288637504 = 5814^2 + 106248^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 307476 + ... + 342324.

Almost surely, 2^11322440100 is an apocalyptic number.

11322440100 is a gapful number since it is divisible by the number (10) 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 11322440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18728407425).

11322440100 is an abundant number, since it is smaller than the sum of its proper divisors (26134374750).

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

11322440100 is a wasteful number, since it uses less digits than its factorization.

11322440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34907 (or 34878 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11322440100 its reverse (104422311), we get a palindrome (11426862411).

The spelling of 11322440100 in words is "eleven billion, three hundred twenty-two million, four hundred forty thousand, one hundred".