10421000 has 64 divisors (see below), whose sum is σ = 25861680. Its totient is φ = 3916800.

The previous prime is 10420999. The next prime is 10421003. The reversal of 10421000 is 12401.

It can be written as a sum of positive squares in 8 ways, for example, as 13924 + 10407076 = 118^2 + 3226^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10421003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16694 + ... + 17306.

Almost surely, 2^10421000 is an apocalyptic number.

10421000 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 10421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12930840).

10421000 is an abundant number, since it is smaller than the sum of its proper divisors (15440680).

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

10421000 is a wasteful number, since it uses less digits than its factorization.

10421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10421000 is about 3228.1573691504. The cubic root of 10421000 is about 218.4253961084.

Adding to 10421000 its reverse (12401), we get a palindrome (10433401).

The spelling of 10421000 in words is "ten million, four hundred twenty-one thousand".