11361642100 has 36 divisors (see below), whose sum is σ = 24931802700. Its totient is φ = 4493589760.

The previous prime is 11361642091. The next prime is 11361642137. The reversal of 11361642100 is 124616311.

11361642100 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 6 ways, for example, as 49617936 + 11312024164 = 7044^2 + 106358^2 .

It is a super-2 number, since 2×11361642100² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 629395 + ... + 647194.

It is an arithmetic number, because the mean of its divisors is an integer number (692550075).

Almost surely, 2^11361642100 is an apocalyptic number.

11361642100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11361642100 is an abundant number, since it is smaller than the sum of its proper divisors (13570160600).

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

11361642100 is a wasteful number, since it uses less digits than its factorization.

11361642100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276692 (or 1276685 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 11361642100 in words is "eleven billion, three hundred sixty-one million, six hundred forty-two thousand, one hundred".