107097041664 has 216 divisors, whose sum is σ = 314886171600. Its totient is φ = 34997329920.

The previous prime is 107097041663. The next prime is 107097041669. The reversal of 107097041664 is 466140790701.

107097041664 is a `hidden beast` number, since 107 + 0 + 9 + 70 + 416 + 64 = 666.

It is a super-2 number, since 2×107097041664² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107097041663) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62665642 + ... + 62667350.

It is an arithmetic number, because the mean of its divisors is an integer number (1457806350).

Almost surely, 2^107097041664 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 107097041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157443085800).

107097041664 is an abundant number, since it is smaller than the sum of its proper divisors (207789129936).

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

107097041664 is a wasteful number, since it uses less digits than its factorization.

107097041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 107097041664 in words is "one hundred seven billion, ninety-seven million, forty-one thousand, six hundred sixty-four".