10093820 has 72 divisors (see below), whose sum is σ = 24086832. Its totient is φ = 3548160.

The previous prime is 10093819. The next prime is 10093823. The reversal of 10093820 is 2839001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10093823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104012 + ... + 104108.

Almost surely, 2^10093820 is an apocalyptic number.

10093820 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 10093820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12043416).

10093820 is an abundant number, since it is smaller than the sum of its proper divisors (13993012).

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

10093820 is a wasteful number, since it uses less digits than its factorization.

10093820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 10093820 is about 3177.0772732183. The cubic root of 10093820 is about 216.1151363764.

The spelling of 10093820 in words is "ten million, ninety-three thousand, eight hundred twenty".