106005066015 has 32 divisors (see below), whose sum is σ = 174359114496. Its totient is φ = 54962115840.

The previous prime is 106005066001. The next prime is 106005066047. The reversal of 106005066015 is 510660500601.

It is not a de Polignac number, because 106005066015 - 2¹² = 106005061919 is a prime.

It is a super-2 number, since 2×106005066015² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 130489 + ... + 478578.

It is an arithmetic number, because the mean of its divisors is an integer number (5448722328).

Almost surely, 2^106005066015 is an apocalyptic number.

106005066015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106005066015 is a deficient number, since it is larger than the sum of its proper divisors (68354048481).

106005066015 is a wasteful number, since it uses less digits than its factorization.

106005066015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609399.

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 106005066015 its reverse (510660500601), we get a palindrome (616665566616).

The spelling of 106005066015 in words is "one hundred six billion, five million, sixty-six thousand, fifteen".