105006110106 has 32 divisors (see below), whose sum is σ = 222549192000. Its totient is φ = 32937269760.

The previous prime is 105006110089. The next prime is 105006110107. The reversal of 105006110106 is 601011600501.

It is a super-2 number, since 2×105006110106² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105006110107) 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, 3073975 + ... + 3107946.

It is an arithmetic number, because the mean of its divisors is an integer number (6954662250).

Almost surely, 2^105006110106 is an apocalyptic number.

105006110106 is an abundant number, since it is smaller than the sum of its proper divisors (117543081894).

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

105006110106 is a wasteful number, since it uses less digits than its factorization.

105006110106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6182094.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 105006110106 its reverse (601011600501), we get a palindrome (706017710607).

The spelling of 105006110106 in words is "one hundred five billion, six million, one hundred ten thousand, one hundred six".