106091564088 has 32 divisors (see below), whose sum is σ = 265240310400. Its totient is φ = 35362334688.

The previous prime is 106091564083. The next prime is 106091564093. The reversal of 106091564088 is 880465190601.

106091564088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 325717²-1.

It is an interprime number because it is at equal distance from previous prime (106091564083) and next prime (106091564093).

It is a super-2 number, since 2×106091564088² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106091564083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570003 + ... + 732861.

It is an arithmetic number, because the mean of its divisors is an integer number (8288759700).

Almost surely, 2^106091564088 is an apocalyptic number.

It is an amenable number.

106091564088 is an abundant number, since it is smaller than the sum of its proper divisors (159148746312).

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

106091564088 is a wasteful number, since it uses less digits than its factorization.

106091564088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190011 (or 190007 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 106091564088 in words is "one hundred six billion, ninety-one million, five hundred sixty-four thousand, eighty-eight".