193080900 has 144 divisors (see below), whose sum is σ = 598086720. Its totient is φ = 48089600.

The previous prime is 193080893. The next prime is 193080913. The reversal of 193080900 is 9080391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 1473835 + ... + 1473965.

It is an arithmetic number, because the mean of its divisors is an integer number (4153380).

Almost surely, 2^193080900 is an apocalyptic number.

193080900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193080900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299043360).

193080900 is an abundant number, since it is smaller than the sum of its proper divisors (405005820).

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

193080900 is a wasteful number, since it uses less digits than its factorization.

193080900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 193080900 is about 13895.3553391052. The cubic root of 193080900 is about 577.9803914917.

The spelling of 193080900 in words is "one hundred ninety-three million, eighty thousand, nine hundred".