10093520 has 40 divisors (see below), whose sum is σ = 23603400. Its totient is φ = 4014080.

The previous prime is 10093513. The next prime is 10093561. The reversal of 10093520 is 2539001.

It can be written as a sum of positive squares in 4 ways, for example, as 2050624 + 8042896 = 1432^2 + 2836^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10093492 and 10093501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22256 + ... + 22704.

It is an arithmetic number, because the mean of its divisors is an integer number (590085).

Almost surely, 2^10093520 is an apocalyptic number.

10093520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10093520 is an abundant number, since it is smaller than the sum of its proper divisors (13509880).

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

10093520 is a wasteful number, since it uses less digits than its factorization.

10093520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 10093520 is about 3177.0300596626. The cubic root of 10093520 is about 216.1129952913.

The spelling of 10093520 in words is "ten million, ninety-three thousand, five hundred twenty".