18793668100 has 27 divisors (see below), whose sum is σ = 40785234847. Its totient is φ = 7516918880.

The previous prime is 18793668077. The next prime is 18793668137. The reversal of 18793668100 is 186639781.

The square root of 18793668100 is 137090.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1293553156 + 17500114944 = 35966^2 + 132288^2 .

It is a super-2 number, since 2×18793668100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1364046 + ... + 1377754.

Almost surely, 2^18793668100 is an apocalyptic number.

18793668100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18793668100 is the 137090-th square number.

It is an amenable number.

18793668100 is an abundant number, since it is smaller than the sum of its proper divisors (21991566747).

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

18793668100 is an frugal number, since it uses more digits than its factorization.

18793668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27432 (or 13716 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 18793668100 by its sum of digits (49), we get a square (920889736900 = 959630²).

It can be divided in two parts, 187936 and 68100, that added together give a square (256036 = 506²).

The spelling of 18793668100 in words is "eighteen billion, seven hundred ninety-three million, six hundred sixty-eight thousand, one hundred".