193891104 has 192 divisors, whose sum is σ = 644474880. Its totient is φ = 56136960.

The previous prime is 193891021. The next prime is 193891133. The reversal of 193891104 is 401198391.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218149 + ... + 219035.

It is an arithmetic number, because the mean of its divisors is an integer number (3356640).

Almost surely, 2^193891104 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 193891104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322237440).

193891104 is an abundant number, since it is smaller than the sum of its proper divisors (450583776).

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

193891104 is a wasteful number, since it uses less digits than its factorization.

193891104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 193891104 is about 13924.4785898790. The cubic root of 193891104 is about 578.7877017051.

The spelling of 193891104 in words is "one hundred ninety-three million, eight hundred ninety-one thousand, one hundred four".