11535342100 has 36 divisors (see below), whose sum is σ = 25049763900. Its totient is φ = 4610805760.

The previous prime is 11535342089. The next prime is 11535342101. The reversal of 11535342100 is 124353511.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2641343236 + 8893998864 = 51394^2 + 94308^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11535342101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99966 + ... + 181834.

It is an arithmetic number, because the mean of its divisors is an integer number (695826775).

Almost surely, 2^11535342100 is an apocalyptic number.

11535342100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11535342100 is an abundant number, since it is smaller than the sum of its proper divisors (13514421800).

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

11535342100 is a wasteful number, since it uses less digits than its factorization.

11535342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83292 (or 83285 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 11535342100 its reverse (124353511), we get a palindrome (11659695611).

The spelling of 11535342100 in words is "eleven billion, five hundred thirty-five million, three hundred forty-two thousand, one hundred".