106621566714 has 96 divisors (see below), whose sum is σ = 261997182720. Its totient is φ = 31065773184.

The previous prime is 106621566713. The next prime is 106621566781. The reversal of 106621566714 is 417665126601.

106621566714 is a `hidden beast` number, since 1 + 0 + 6 + 621 + 5 + 6 + 6 + 7 + 14 = 666.

It is a super-2 number, since 2×106621566714² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106621566714.

It is not an unprimeable number, because it can be changed into a prime (106621566713) by changing a digit.

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, 13436292 + ... + 13444224.

It is an arithmetic number, because the mean of its divisors is an integer number (2729137320).

Almost surely, 2^106621566714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106621566714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130998591360).

106621566714 is an abundant number, since it is smaller than the sum of its proper divisors (155375616006).

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

106621566714 is a wasteful number, since it uses less digits than its factorization.

106621566714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10996 (or 10993 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 106621566714 in words is "one hundred six billion, six hundred twenty-one million, five hundred sixty-six thousand, seven hundred fourteen".