10820109600 has 252 divisors, whose sum is σ = 39605906466. Its totient is φ = 2885207040.

The previous prime is 10820109593. The next prime is 10820109611. The reversal of 10820109600 is 690102801.

It can be written as a sum of positive squares in 3 ways, for example, as 5282963856 + 5537145744 = 72684^2 + 74412^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 573924 + ... + 592476.

Almost surely, 2^10820109600 is an apocalyptic number.

10820109600 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 10820109600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19802953233).

10820109600 is an abundant number, since it is smaller than the sum of its proper divisors (28785796866).

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

10820109600 is an equidigital number, since it uses as much as digits as its factorization.

10820109600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18591 (or 18563 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10820109600 in words is "ten billion, eight hundred twenty million, one hundred nine thousand, six hundred".