105414402642216 has 128 divisors (see below), whose sum is σ = 279375433706880. Its totient is φ = 33031217995776.

The previous prime is 105414402642187. The next prime is 105414402642217. The reversal of 105414402642216 is 612246204414501.

It is a happy number.

It is a super-2 number, since 2×105414402642216² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105414402642217) 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 31 ways as a sum of consecutive naturals, for example, 3546545131 + ... + 3546574853.

It is an arithmetic number, because the mean of its divisors is an integer number (2182620575835).

Almost surely, 2^{105414402642216} 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 105414402642216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139687716853440).

105414402642216 is an abundant number, since it is smaller than the sum of its proper divisors (173961031064664).

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

105414402642216 is a wasteful number, since it uses less digits than its factorization.

105414402642216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39963 (or 39959 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 105414402642216 in words is "one hundred five trillion, four hundred fourteen billion, four hundred two million, six hundred forty-two thousand, two hundred sixteen".