10920900 has 72 divisors (see below), whose sum is σ = 32185440. Its totient is φ = 2858240.

The previous prime is 10920887. The next prime is 10920901. The reversal of 10920900 is 902901.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10920901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17392 + ... + 18008.

It is an arithmetic number, because the mean of its divisors is an integer number (447020).

Almost surely, 2^10920900 is an apocalyptic number.

10920900 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 10920900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16092720).

10920900 is an abundant number, since it is smaller than the sum of its proper divisors (21264540).

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

10920900 is a wasteful number, since it uses less digits than its factorization.

10920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 10920900 is about 3304.6785017608. The cubic root of 10920900 is about 221.8636448596.

The spelling of 10920900 in words is "ten million, nine hundred twenty thousand, nine hundred".