193135104 has 100 divisors (see below), whose sum is σ = 576581214. Its totient is φ = 64364544.

The previous prime is 193135097. The next prime is 193135121. The reversal of 193135104 is 401531391.

It can be written as a sum of positive squares in only one way, i.e., 187142400 + 5992704 = 13680^2 + 2448^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39144 + ... + 43800.

Almost surely, 2^193135104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288290607).

193135104 is an abundant number, since it is smaller than the sum of its proper divisors (383446110).

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

193135104 is an frugal number, since it uses more digits than its factorization.

193135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4687 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 193135104 is about 13897.3056381444. The cubic root of 193135104 is about 578.0344723077.

Adding to 193135104 its reverse (401531391), we get a palindrome (594666495).

The spelling of 193135104 in words is "one hundred ninety-three million, one hundred thirty-five thousand, one hundred four".