106017986688 has 128 divisors (see below), whose sum is σ = 283955760000. Its totient is φ = 35045793792.

The previous prime is 106017986687. The next prime is 106017986707. The reversal of 106017986688 is 886689710601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106017986688² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106017986687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50749548 + ... + 50751636.

It is an arithmetic number, because the mean of its divisors is an integer number (2218404375).

Almost surely, 2^106017986688 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 106017986688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141977880000).

106017986688 is an abundant number, since it is smaller than the sum of its proper divisors (177937773312).

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

106017986688 is a wasteful number, since it uses less digits than its factorization.

106017986688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 60.

The spelling of 106017986688 in words is "one hundred six billion, seventeen million, nine hundred eighty-six thousand, six hundred eighty-eight".