10420200 has 144 divisors (see below), whose sum is σ = 40042080. Its totient is φ = 2378880.

The previous prime is 10420183. The next prime is 10420217. The reversal of 10420200 is 202401.

It is an interprime number because it is at equal distance from previous prime (10420183) and next prime (10420217).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12187 + ... + 13013.

It is an arithmetic number, because the mean of its divisors is an integer number (278070).

Almost surely, 2^10420200 is an apocalyptic number.

10420200 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 10420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021040).

10420200 is an abundant number, since it is smaller than the sum of its proper divisors (29621880).

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

10420200 is a wasteful number, since it uses less digits than its factorization.

10420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10420200 is about 3228.0334570757. The cubic root of 10420200 is about 218.4198066004.

Adding to 10420200 its reverse (202401), we get a palindrome (10622601).

The spelling of 10420200 in words is "ten million, four hundred twenty thousand, two hundred".