11540100 has 144 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 2572800.

The previous prime is 11540099. The next prime is 11540101. The reversal of 11540100 is 104511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11540099) and next prime (11540101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11540101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42766 + ... + 43034.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 2^11540100 is an apocalyptic number.

11540100 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 11540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

11540100 is an abundant number, since it is smaller than the sum of its proper divisors (27832380).

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

11540100 is a wasteful number, since it uses less digits than its factorization.

11540100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11540100 is about 3397.0722688810. The cubic root of 11540100 is about 225.9799235566.

Adding to 11540100 its reverse (104511), we get a palindrome (11644611).

The spelling of 11540100 in words is "eleven million, five hundred forty thousand, one hundred".