10118348100 has 243 divisors, whose sum is σ = 36970607037. Its totient is φ = 2307936960.

The previous prime is 10118348077. The next prime is 10118348111. The reversal of 10118348100 is 184381101.

The square root of 10118348100 is 100590.

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

10118348100 is a `hidden beast` number, since 1 + 0 + 1 + 183 + 481 + 0 + 0 = 666.

10118348100 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 only one way, i.e., 3642605316 + 6475742784 = 60354^2 + 80472^2 .

It is a super-2 number, since 2×10118348100² (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, 21123661 + ... + 21124139.

Almost surely, 2^10118348100 is an apocalyptic number.

10118348100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10118348100 is the 100590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10118348100

10118348100 is an abundant number, since it is smaller than the sum of its proper divisors (26852258937).

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

10118348100 is a wasteful number, since it uses less digits than its factorization.

10118348100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 10118348100 in words is "ten billion, one hundred eighteen million, three hundred forty-eight thousand, one hundred".