106716886864 has 80 divisors (see below), whose sum is σ = 248872960000. Its totient is φ = 43305259392.

The previous prime is 106716886853. The next prime is 106716886889. The reversal of 106716886864 is 468688617601.

It is a super-2 number, since 2×106716886864² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4241329 + ... + 4266415.

It is an arithmetic number, because the mean of its divisors is an integer number (3110912000).

Almost surely, 2^106716886864 is an apocalyptic number.

106716886864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106716886864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124436480000).

106716886864 is an abundant number, since it is smaller than the sum of its proper divisors (142156073136).

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

106716886864 is a wasteful number, since it uses less digits than its factorization.

106716886864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27120 (or 27114 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 61.

The spelling of 106716886864 in words is "one hundred six billion, seven hundred sixteen million, eight hundred eighty-six thousand, eight hundred sixty-four".