10821600 has 180 divisors, whose sum is σ = 39700584. Its totient is φ = 2868480.

The previous prime is 10821589. The next prime is 10821631. The reversal of 10821600 is 612801.

10821600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64717 + ... + 64883.

It is a vampire number, since it can be written as 1800 ⋅ 6012 (with its own digits).

Almost surely, 2^10821600 is an apocalyptic number.

10821600 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 10821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19850292).

10821600 is an abundant number, since it is smaller than the sum of its proper divisors (28878984).

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

10821600 is a wasteful number, since it uses less digits than its factorization.

10821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10821600 is about 3289.6200388495. The cubic root of 10821600 is about 221.1891530465.

The spelling of 10821600 in words is "ten million, eight hundred twenty-one thousand, six hundred".