105006110506 has 32 divisors (see below), whose sum is σ = 172525199616. Its totient is φ = 47536608000.

The previous prime is 105006110491. The next prime is 105006110549. The reversal of 105006110506 is 605011600501.

It is a super-2 number, since 2×105006110506² (a number of 23 digits) contains 22 as substring.

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, 20663886 + ... + 20668966.

It is an arithmetic number, because the mean of its divisors is an integer number (5391412488).

Almost surely, 2^105006110506 is an apocalyptic number.

105006110506 is a deficient number, since it is larger than the sum of its proper divisors (67519089110).

105006110506 is a wasteful number, since it uses less digits than its factorization.

105006110506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8718.

The product of its (nonzero) digits is 900, while the sum is 25.

It can be divided in two parts, 105006 and 110506, that added together give a palindrome (215512).

The spelling of 105006110506 in words is "one hundred five billion, six million, one hundred ten thousand, five hundred six".