106011010591 has 16 divisors (see below), whose sum is σ = 108514028160. Its totient is φ = 103527758880.

The previous prime is 106011010541. The next prime is 106011010597. The reversal of 106011010591 is 195010110601.

It is a cyclic number.

It is not a de Polignac number, because 106011010591 - 2¹⁷ = 106010879519 is a prime.

It is a super-2 number, since 2×106011010591² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106011010597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10500456 + ... + 10510546.

It is an arithmetic number, because the mean of its divisors is an integer number (6782126760).

Almost surely, 2^106011010591 is an apocalyptic number.

106011010591 is a deficient number, since it is larger than the sum of its proper divisors (2503017569).

106011010591 is a wasteful number, since it uses less digits than its factorization.

106011010591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11046.

The product of its (nonzero) digits is 270, while the sum is 25.

It can be divided in two parts, 1060110 and 10591, that added together give a palindrome (1070701).

The spelling of 106011010591 in words is "one hundred six billion, eleven million, ten thousand, five hundred ninety-one".