10193820 has 96 divisors (see below), whose sum is σ = 35148288. Its totient is φ = 2149632.

The previous prime is 10193809. The next prime is 10193839. The reversal of 10193820 is 2839101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4527 + ... + 6393.

It is an arithmetic number, because the mean of its divisors is an integer number (366128).

Almost surely, 2^10193820 is an apocalyptic number.

10193820 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 10193820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17574144).

10193820 is an abundant number, since it is smaller than the sum of its proper divisors (24954468).

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

10193820 is a wasteful number, since it uses less digits than its factorization.

10193820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10193820 is about 3192.7762214098. The cubic root of 10193820 is about 216.8264803827.

The spelling of 10193820 in words is "ten million, one hundred ninety-three thousand, eight hundred twenty".