106005111105 has 32 divisors (see below), whose sum is σ = 170339293440. Its totient is φ = 56292606720.

The previous prime is 106005111061. The next prime is 106005111119. The reversal of 106005111105 is 501111500601.

It is a happy number.

It is not a de Polignac number, because 106005111105 - 2¹⁴ = 106005094721 is a prime.

It is a super-2 number, since 2×106005111105² (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 31 ways as a sum of consecutive naturals, for example, 7792860 + ... + 7806450.

It is an arithmetic number, because the mean of its divisors is an integer number (5323102920).

Almost surely, 2^106005111105 is an apocalyptic number.

106005111105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106005111105 is a deficient number, since it is larger than the sum of its proper divisors (64334182335).

106005111105 is a wasteful number, since it uses less digits than its factorization.

106005111105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15801.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 106005111105 its reverse (501111500601), we get a palindrome (607116611706).

The spelling of 106005111105 in words is "one hundred six billion, five million, one hundred eleven thousand, one hundred five".