10188420 has 96 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 2405760.

The previous prime is 10188413. The next prime is 10188421. The reversal of 10188420 is 2488101.

10188420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10188421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28201 + ... + 28559.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 2^10188420 is an apocalyptic number.

10188420 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 10188420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

10188420 is an abundant number, since it is smaller than the sum of its proper divisors (21745020).

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

10188420 is a wasteful number, since it uses less digits than its factorization.

10188420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 10188420 is about 3191.9304503701. The cubic root of 10188420 is about 216.7881869264.

The spelling of 10188420 in words is "ten million, one hundred eighty-eight thousand, four hundred twenty".