10500110550500 has 48 divisors (see below), whose sum is σ = 23058939107568. Its totient is φ = 4176839520000.

The previous prime is 10500110550491. The next prime is 10500110550511. The reversal of 10500110550500 is 505501100501.

It is a happy number.

10500110550500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5324057841664 + 5176052708836 = 2307392^2 + 2275094^2 .

It is a super-2 number, since 2×10500110550500² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57921161 + ... + 58102160.

It is an arithmetic number, because the mean of its divisors is an integer number (480394564741).

Almost surely, 2^{10500110550500} is an apocalyptic number.

10500110550500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10500110550500 is an abundant number, since it is smaller than the sum of its proper divisors (12558828557068).

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

10500110550500 is a wasteful number, since it uses less digits than its factorization.

10500110550500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116023521 (or 116023509 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 10500110550500 in words is "ten trillion, five hundred billion, one hundred ten million, five hundred fifty thousand, five hundred".