106011010005999 has 32 divisors (see below), whose sum is σ = 170046223104000. Its totient is φ = 57388237604064.

The previous prime is 106011010005991. The next prime is 106011010006049. The reversal of 106011010005999 is 999500010110601.

It is not a de Polignac number, because 106011010005999 - 2³ = 106011010005991 is a prime.

It is a super-2 number, since 2×106011010005999² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106011010005999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106011010005991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16848492 + ... + 22268670.

It is an arithmetic number, because the mean of its divisors is an integer number (5313944472000).

Almost surely, 2^{106011010005999} is an apocalyptic number.

106011010005999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

106011010005999 is a deficient number, since it is larger than the sum of its proper divisors (64035213098001).

106011010005999 is a wasteful number, since it uses less digits than its factorization.

106011010005999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469227.

The product of its (nonzero) digits is 21870, while the sum is 42.

The spelling of 106011010005999 in words is "one hundred six trillion, eleven billion, ten million, five thousand, nine hundred ninety-nine".