106613341758864 has 240 divisors, whose sum is σ = 322097228743680. Its totient is φ = 32818517867520.

The previous prime is 106613341758839. The next prime is 106613341758941. The reversal of 106613341758864 is 468857143316601.

106613341758864 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 1 + 3 + 3 + 41 + 7 + 588 + 6 + 4 = 666.

It is a super-2 number, since 2×106613341758864² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2879788674 + ... + 2879825694.

It is an arithmetic number, because the mean of its divisors is an integer number (1342071786432).

Almost surely, 2^{106613341758864} 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 106613341758864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161048614371840).

106613341758864 is an abundant number, since it is smaller than the sum of its proper divisors (215483886984816).

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

106613341758864 is a wasteful number, since it uses less digits than its factorization.

106613341758864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67070 (or 67061 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 106613341758864 in words is "one hundred six trillion, six hundred thirteen billion, three hundred forty-one million, seven hundred fifty-eight thousand, eight hundred sixty-four".