11468268100 has 27 divisors (see below), whose sum is σ = 24888465847. Its totient is φ = 4586878880.

The previous prime is 11468268079. The next prime is 11468268107. The reversal of 11468268100 is 186286411.

The square root of 11468268100 is 107090.

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

11468268100 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 4 ways, for example, as 2169137476 + 9299130624 = 46574^2 + 96432^2 .

It is a super-2 number, since 2×11468268100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11468268100.

It is not an unprimeable number, because it can be changed into a prime (11468268107) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1065546 + ... + 1076254.

Almost surely, 2^11468268100 is an apocalyptic number.

11468268100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11468268100 is the 107090-th square number.

It is an amenable number.

11468268100 is an abundant number, since it is smaller than the sum of its proper divisors (13420197747).

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

11468268100 is an frugal number, since it uses more digits than its factorization.

11468268100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21432 (or 10716 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 11468268100 in words is "eleven billion, four hundred sixty-eight million, two hundred sixty-eight thousand, one hundred".