106011166590 has 96 divisors (see below), whose sum is σ = 317894765760. Its totient is φ = 24008804352.

The previous prime is 106011166589. The next prime is 106011166693. The reversal of 106011166590 is 95661110601.

106011166590 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 1 + 1 + 1 + 66 + 590 = 666.

It is a super-2 number, since 2×106011166590² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703219 + ... + 840558.

It is an arithmetic number, because the mean of its divisors is an integer number (3311403810).

Almost surely, 2^106011166590 is an apocalyptic number.

106011166590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106011166590 is an abundant number, since it is smaller than the sum of its proper divisors (211883599170).

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

106011166590 is a wasteful number, since it uses less digits than its factorization.

106011166590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543906 (or 1543903 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 106011166590 in words is "one hundred six billion, eleven million, one hundred sixty-six thousand, five hundred ninety".