189581868100 has 27 divisors (see below), whose sum is σ = 411402102391. Its totient is φ = 75831005600.

The previous prime is 189581868067. The next prime is 189581868103. The reversal of 189581868100 is 1868185981.

The square root of 189581868100 is 435410.

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

189581868100 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 59324396356 + 130257471744 = 243566^2 + 360912^2 .

It is a super-2 number, since 2×189581868100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (189581868103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4332330 + ... + 4375870.

Almost surely, 2^189581868100 is an apocalyptic number.

189581868100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

189581868100 is the 435410-th square number.

It is an amenable number.

189581868100 is an abundant number, since it is smaller than the sum of its proper divisors (221820234291).

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

189581868100 is an frugal number, since it uses more digits than its factorization.

189581868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87096 (or 43548 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 55.

The spelling of 189581868100 in words is "one hundred eighty-nine billion, five hundred eighty-one million, eight hundred sixty-eight thousand, one hundred".