106107111570558 has 128 divisors (see below), whose sum is σ = 249029803699200. Its totient is φ = 30126531294720.

The previous prime is 106107111570529. The next prime is 106107111570571. The reversal of 106107111570558 is 855075111701601.

It is a super-3 number, since 3×106107111570558³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3668845938 + ... + 3668874858.

It is an arithmetic number, because the mean of its divisors is an integer number (1945545341400).

Almost surely, 2^{106107111570558} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106107111570558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124514901849600).

106107111570558 is an abundant number, since it is smaller than the sum of its proper divisors (142922692128642).

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

106107111570558 is a wasteful number, since it uses less digits than its factorization.

106107111570558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40047 (or 40033 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 48.

The spelling of 106107111570558 in words is "one hundred six trillion, one hundred seven billion, one hundred eleven million, five hundred seventy thousand, five hundred fifty-eight".