11361428100 has 729 divisors, whose sum is σ = 43885199631. Its totient is φ = 2455833600.

The previous prime is 11361428093. The next prime is 11361428159. The reversal of 11361428100 is 182416311.

It is a happy number.

The square root of 11361428100 is 106590.

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

11361428100 is a `hidden beast` number, since 1 + 13 + 614 + 28 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 265755204 + 11095672896 = 16302^2 + 105336^2 .

It is a super-2 number, since 2×11361428100² (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 (13) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 597969891 + ... + 597969909.

Almost surely, 2^11361428100 is an apocalyptic number.

11361428100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11361428100 is the 106590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11361428100

11361428100 is an abundant number, since it is smaller than the sum of its proper divisors (32523771531).

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

11361428100 is a wasteful number, since it uses less digits than its factorization.

11361428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11361428100 in words is "eleven billion, three hundred sixty-one million, four hundred twenty-eight thousand, one hundred".