106611618048 has 288 divisors, whose sum is σ = 322548105600. Its totient is φ = 30990532608.

The previous prime is 106611618031. The next prime is 106611618073. The reversal of 106611618048 is 840816116601.

It is a super-2 number, since 2×106611618048² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105660168 + ... + 105661176.

It is an arithmetic number, because the mean of its divisors is an integer number (1119958700).

Almost surely, 2^106611618048 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 106611618048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161274052800).

106611618048 is an abundant number, since it is smaller than the sum of its proper divisors (215936487552).

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

106611618048 is a wasteful number, since it uses less digits than its factorization.

106611618048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 106611618048 in words is "one hundred six billion, six hundred eleven million, six hundred eighteen thousand, forty-eight".