10820900 has 36 divisors (see below), whose sum is σ = 23631300. Its totient is φ = 4300800.

The previous prime is 10820893. The next prime is 10820903. The reversal of 10820900 is 902801.

It can be written as a sum of positive squares in 6 ways, for example, as 23104 + 10797796 = 152^2 + 3286^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10820903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23876 + ... + 24324.

It is an arithmetic number, because the mean of its divisors is an integer number (656425).

Almost surely, 2^10820900 is an apocalyptic number.

10820900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10820900 is an abundant number, since it is smaller than the sum of its proper divisors (12810400).

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

10820900 is a wasteful number, since it uses less digits than its factorization.

10820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 10820900 is about 3289.5136418626. The cubic root of 10820900 is about 221.1843837042.

The spelling of 10820900 in words is "ten million, eight hundred twenty thousand, nine hundred".