106759240866 has 64 divisors (see below), whose sum is σ = 249860160000. Its totient is φ = 33695768016.

The previous prime is 106759240853. The next prime is 106759240877. The reversal of 106759240866 is 668042957601.

106759240866 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 592 + 40 + 8 + 6 + 6 = 666.

It is a super-2 number, since 2×106759240866² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004165 + ... + 2056743.

It is an arithmetic number, because the mean of its divisors is an integer number (3904065000).

Almost surely, 2^106759240866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106759240866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124930080000).

106759240866 is an abundant number, since it is smaller than the sum of its proper divisors (143100919134).

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

106759240866 is a wasteful number, since it uses less digits than its factorization.

106759240866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54588 (or 54582 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 106759240866 in words is "one hundred six billion, seven hundred fifty-nine million, two hundred forty thousand, eight hundred sixty-six".