10500555106000 has 80 divisors (see below), whose sum is σ = 25391111436288. Its totient is φ = 4200094800000.

The previous prime is 10500555105983. The next prime is 10500555106009. The reversal of 10500555106000 is 60155500501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10500555106000² (a number of 27 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 10500555106000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500555106009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93445849 + ... + 93558151.

Almost surely, 2^{10500555106000} is an apocalyptic number.

10500555106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10500555106000 is an abundant number, since it is smaller than the sum of its proper divisors (14890556330288).

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

10500555106000 is a wasteful number, since it uses less digits than its factorization.

10500555106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159077 (or 159061 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 10500555106000 in words is "ten trillion, five hundred billion, five hundred fifty-five million, one hundred six thousand".