10005011105 has 16 divisors (see below), whose sum is σ = 12812359680. Its totient is φ = 7473860352.

The previous prime is 10005011057. The next prime is 10005011113. The reversal of 10005011105 is 50111050001.

It is a cyclic number.

It is not a de Polignac number, because 10005011105 - 2¹² = 10005007009 is a prime.

It is a super-2 number, since 2×10005011105² (a number of 21 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 10005011105.

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, 452615 + ... + 474204.

It is an arithmetic number, because the mean of its divisors is an integer number (800772480).

Almost surely, 2^10005011105 is an apocalyptic number.

It is an amenable number.

10005011105 is a deficient number, since it is larger than the sum of its proper divisors (2807348575).

10005011105 is a wasteful number, since it uses less digits than its factorization.

10005011105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926968.

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 10005011105 its reverse (50111050001), we get a palindrome (60116061106).

It can be divided in two parts, 1000 and 5011105, that added together give a palindrome (5012105).

The spelling of 10005011105 in words is "ten billion, five million, eleven thousand, one hundred five".