10500001005006 has 12 divisors (see below), whose sum is σ = 22750002177552. Its totient is φ = 3500000334996.

The previous prime is 10500001004957. The next prime is 10500001005019. The reversal of 10500001005006 is 60050010000501.

10500001005006 is a `hidden beast` number, since 10 + 50 + 0 + 0 + 0 + 100 + 500 + 6 = 666.

It is a super-2 number, since 2×10500001005006² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 583333389167 = 10500001005006 / (1 + 0 + 5 + 0 + 0 + 0 + 0 + 1 + 0 + 0 + 5 + 0 + 0 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 10500001005006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 291666694566 + ... + 291666694601.

It is an arithmetic number, because the mean of its divisors is an integer number (1895833514796).

Almost surely, 2^{10500001005006} is an apocalyptic number.

10500001005006 is an abundant number, since it is smaller than the sum of its proper divisors (12250001172546).

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

10500001005006 is a wasteful number, since it uses less digits than its factorization.

10500001005006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583333389175 (or 583333389172 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 10500001005006 its reverse (60050010000501), we get a palindrome (70550011005507).

The spelling of 10500001005006 in words is "ten trillion, five hundred billion, one million, five thousand, six".