10505611000 has 64 divisors (see below), whose sum is σ = 24600944160. Its totient is φ = 4199200000.

The previous prime is 10505610979. The next prime is 10505611003. The reversal of 10505611000 is 11650501.

It is a super-2 number, since 2×10505611000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505611003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1808100 + ... + 1813900.

Almost surely, 2^10505611000 is an apocalyptic number.

10505611000 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 10505611000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12300472080).

10505611000 is an abundant number, since it is smaller than the sum of its proper divisors (14095333160).

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

10505611000 is a wasteful number, since it uses less digits than its factorization.

10505611000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7633 (or 7619 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 10505611000 in words is "ten billion, five hundred five million, six hundred eleven thousand".