10111105005 has 16 divisors (see below), whose sum is σ = 16419228864. Its totient is φ = 5312102400.

The previous prime is 10111104953. The next prime is 10111105007. The reversal of 10111105005 is 50050111101.

It is not a de Polignac number, because 10111105005 - 2¹³ = 10111096813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111105007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5029396 + ... + 5031405.

It is an arithmetic number, because the mean of its divisors is an integer number (1026201804).

Almost surely, 2^10111105005 is an apocalyptic number.

10111105005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10111105005 is a deficient number, since it is larger than the sum of its proper divisors (6308123859).

10111105005 is a wasteful number, since it uses less digits than its factorization.

10111105005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10060876.

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 10111105005 its reverse (50050111101), we get a palindrome (60161216106).

The spelling of 10111105005 in words is "ten billion, one hundred eleven million, one hundred five thousand, five".