10020600 has 144 divisors (see below), whose sum is σ = 35544600. Its totient is φ = 2522880.

The previous prime is 10020559. The next prime is 10020613. The reversal of 10020600 is 602001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34054 + ... + 34346.

Almost surely, 2^10020600 is an apocalyptic number.

10020600 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 10020600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772300).

10020600 is an abundant number, since it is smaller than the sum of its proper divisors (25524000).

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

10020600 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (10020599) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (322).

10020600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10020600 is about 3165.5331304537. The cubic root of 10020600 is about 215.5913053840.

Adding to 10020600 its reverse (602001), we get a palindrome (10622601).

The spelling of 10020600 in words is "ten million, twenty thousand, six hundred".