11575608100 has 243 divisors, whose sum is σ = 30844241337. Its totient is φ = 3759624960.

The previous prime is 11575608001. The next prime is 11575608113. The reversal of 11575608100 is 180657511.

The square root of 11575608100 is 107590.

It is a perfect power (a square), and thus also a powerful number.

11575608100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 4510196964 + 7065411136 = 67158^2 + 84056^2 .

It is a super-2 number, since 2×11575608100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 218407674 + ... + 218407726.

Almost surely, 2^11575608100 is an apocalyptic number.

11575608100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11575608100 is the 107590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11575608100

11575608100 is an abundant number, since it is smaller than the sum of its proper divisors (19268633237).

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

11575608100 is a wasteful number, since it uses less digits than its factorization.

11575608100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 34.

The spelling of 11575608100 in words is "eleven billion, five hundred seventy-five million, six hundred eight thousand, one hundred".