193102848 has 132 divisors (see below), whose sum is σ = 582461568. Its totient is φ = 61501440.

The previous prime is 193102843. The next prime is 193102849. The reversal of 193102848 is 848201391.

It is a super-2 number, since 2×193102848² = 74577419811422208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (193102843) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 211513 + ... + 212423.

Almost surely, 2^193102848 is an apocalyptic number.

193102848 is a gapful number since it is divisible by the number (18) 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 193102848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291230784).

193102848 is an abundant number, since it is smaller than the sum of its proper divisors (389358720).

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

193102848 is a wasteful number, since it uses less digits than its factorization.

193102848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 193102848 is about 13896.1450769629. The cubic root of 193102848 is about 578.0022908319.

It can be divided in two parts, 193 and 102848, that added together give a square (103041 = 321²).

The spelling of 193102848 in words is "one hundred ninety-three million, one hundred two thousand, eight hundred forty-eight".