10835105000 has 40 divisors (see below), whose sum is σ = 25386662730. Its totient is φ = 4334040000.

The previous prime is 10835104963. The next prime is 10835105033. The reversal of 10835105000 is 50153801.

It can be written as a sum of positive squares in 5 ways, for example, as 691795204 + 10143309796 = 26302^2 + 100714^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10835105000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1078511 + ... + 1088510.

Almost surely, 2^10835105000 is an apocalyptic number.

10835105000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10835105000 is an abundant number, since it is smaller than the sum of its proper divisors (14551557730).

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

10835105000 is an equidigital number, since it uses as much as digits as its factorization.

10835105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167047 (or 2167028 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 10835105000 its reverse (50153801), we get a palindrome (10885258801).

The spelling of 10835105000 in words is "ten billion, eight hundred thirty-five million, one hundred five thousand".