10093320 has 144 divisors (see below), whose sum is σ = 34938540. Its totient is φ = 2525952.

The previous prime is 10093319. The next prime is 10093331. The reversal of 10093320 is 2339001.

It can be written as a sum of positive squares in 2 ways, for example, as 10074276 + 19044 = 3174^2 + 138^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10093293 and 10093302.

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 35 ways as a sum of consecutive naturals, for example, 190414 + ... + 190466.

Almost surely, 2^10093320 is an apocalyptic number.

10093320 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 10093320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17469270).

10093320 is an abundant number, since it is smaller than the sum of its proper divisors (24845220).

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

10093320 is a wasteful number, since it uses less digits than its factorization.

10093320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 10093320 is about 3176.9985835691. The cubic root of 10093320 is about 216.1115678777. Note that the first 3 decimals are identical.

The spelling of 10093320 in words is "ten million, ninety-three thousand, three hundred twenty".