10105010005506 has 64 divisors (see below), whose sum is σ = 21853280977920. Its totient is φ = 3096572616000.

The previous prime is 10105010005487. The next prime is 10105010005537. The reversal of 10105010005506 is 60550001050101.

It is a super-2 number, since 2×10105010005506² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404527725 + ... + 404552703.

It is an arithmetic number, because the mean of its divisors is an integer number (341457515280).

Almost surely, 2^{10105010005506} is an apocalyptic number.

10105010005506 is an abundant number, since it is smaller than the sum of its proper divisors (11748270972414).

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

10105010005506 is a wasteful number, since it uses less digits than its factorization.

10105010005506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45911.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 10105010005506 its reverse (60550001050101), we get a palindrome (70655011055607).

The spelling of 10105010005506 in words is "ten trillion, one hundred five billion, ten million, five thousand, five hundred six".