11414332100 has 72 divisors (see below), whose sum is σ = 26249835528. Its totient is φ = 4293273600.

The previous prime is 11414332093. The next prime is 11414332109. The reversal of 11414332100 is 123341411.

It can be written as a sum of positive squares in 12 ways, for example, as 213919876 + 11200412224 = 14626^2 + 105832^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11414332109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2467790 + ... + 2472410.

It is an arithmetic number, because the mean of its divisors is an integer number (364581049).

Almost surely, 2^11414332100 is an apocalyptic number.

11414332100 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 11414332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124917764).

11414332100 is an abundant number, since it is smaller than the sum of its proper divisors (14835503428).

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

11414332100 is a wasteful number, since it uses less digits than its factorization.

11414332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105 (or 6098 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11414332100 its reverse (123341411), we get a palindrome (11537673511).

The spelling of 11414332100 in words is "eleven billion, four hundred fourteen million, three hundred thirty-two thousand, one hundred".