10500110010 has 96 divisors (see below), whose sum is σ = 31129796880. Its totient is φ = 2432600064.

The previous prime is 10500109987. The next prime is 10500110021. The reversal of 10500110010 is 1001100501.

It can be written as a sum of positive squares in 8 ways, for example, as 954624609 + 9545485401 = 30897^2 + 97701^2 .

It is a super-2 number, since 2×10500110010² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10500109974 and 10500110001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244065 + ... + 283844.

Almost surely, 2^10500110010 is an apocalyptic number.

10500110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10500110010 is an abundant number, since it is smaller than the sum of its proper divisors (20629686870).

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

10500110010 is a wasteful number, since it uses less digits than its factorization.

10500110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527952 (or 527949 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 10500110010 its reverse (1001100501), we get a palindrome (11501210511).

The spelling of 10500110010 in words is "ten billion, five hundred million, one hundred ten thousand, ten".