10505773000 has 64 divisors (see below), whose sum is σ = 24601449600. Its totient is φ = 4199243200.

The previous prime is 10505772989. The next prime is 10505773021. The reversal of 10505773000 is 37750501.

10505773000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10505773000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10505773000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1784061 + ... + 1789939.

It is an arithmetic number, because the mean of its divisors is an integer number (384397650).

Almost surely, 2^10505773000 is an apocalyptic number.

10505773000 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 10505773000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12300724800).

10505773000 is an abundant number, since it is smaller than the sum of its proper divisors (14095676600).

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

10505773000 is a wasteful number, since it uses less digits than its factorization.

10505773000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7687 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 28.

The spelling of 10505773000 in words is "ten billion, five hundred five million, seven hundred seventy-three thousand".