10210900 has 72 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 3373440.

The previous prime is 10210883. The next prime is 10210901. The reversal of 10210900 is 901201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20049 + ... + 20551.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 2^10210900 is an apocalyptic number.

10210900 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 10210900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

10210900 is an abundant number, since it is smaller than the sum of its proper divisors (16037420).

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

10210900 is a wasteful number, since it uses less digits than its factorization.

10210900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 10210900 is about 3195.4498900781. The cubic root of 10210900 is about 216.9475122050.

The spelling of 10210900 in words is "ten million, two hundred ten thousand, nine hundred".