106613073589116 has 96 divisors (see below), whose sum is σ = 265158016929792. Its totient is φ = 33223752207360.

The previous prime is 106613073589109. The next prime is 106613073589117. The reversal of 106613073589116 is 611985370316601.

It is a super-2 number, since 2×106613073589116² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106613073589117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101679765 + ... + 102722931.

It is an arithmetic number, because the mean of its divisors is an integer number (2762062676352).

Almost surely, 2^{106613073589116} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106613073589116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132579008464896).

106613073589116 is an abundant number, since it is smaller than the sum of its proper divisors (158544943340676).

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

106613073589116 is a wasteful number, since it uses less digits than its factorization.

106613073589116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046539 (or 1046537 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 106613073589116 in words is "one hundred six trillion, six hundred thirteen billion, seventy-three million, five hundred eighty-nine thousand, one hundred sixteen".