105354885314616 has 128 divisors (see below), whose sum is σ = 317630753049600. Its totient is φ = 28469126568960.

The previous prime is 105354885314467. The next prime is 105354885314641. The reversal of 105354885314616 is 616413588453501.

It is a super-2 number, since 2×105354885314616² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105354885314616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152834515 + ... + 153522306.

It is an arithmetic number, because the mean of its divisors is an integer number (2481490258200).

Almost surely, 2^{105354885314616} is an apocalyptic number.

It is an amenable number.

105354885314616 is an abundant number, since it is smaller than the sum of its proper divisors (212275867734984).

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

105354885314616 is a wasteful number, since it uses less digits than its factorization.

105354885314616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306356949 (or 306356945 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 60.

The spelling of 105354885314616 in words is "one hundred five trillion, three hundred fifty-four billion, eight hundred eighty-five million, three hundred fourteen thousand, six hundred sixteen".