10500106005 has 16 divisors (see below), whose sum is σ = 18666855360. Its totient is φ = 5600056464.

The previous prime is 10500105997. The next prime is 10500106081. The reversal of 10500106005 is 50060100501.

10500106005 is a `hidden beast` number, since 1 + 0 + 50 + 0 + 10 + 600 + 5 = 666.

It is not a de Polignac number, because 10500106005 - 2³ = 10500105997 is a prime.

It is a super-2 number, since 2×10500106005² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38889147 + ... + 38889416.

It is an arithmetic number, because the mean of its divisors is an integer number (1166678460).

Almost surely, 2^10500106005 is an apocalyptic number.

10500106005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10500106005 is a deficient number, since it is larger than the sum of its proper divisors (8166749355).

10500106005 is an equidigital number, since it uses as much as digits as its factorization.

10500106005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77778577 (or 77778571 counting only the distinct ones).

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

Adding to 10500106005 its reverse (50060100501), we get a palindrome (60560206506).

The spelling of 10500106005 in words is "ten billion, five hundred million, one hundred six thousand, five".