105346043664 has 80 divisors (see below), whose sum is σ = 284109149184. Its totient is φ = 33572880000.

The previous prime is 105346043657. The next prime is 105346043681. The reversal of 105346043664 is 466340643501.

It is a super-2 number, since 2×105346043664² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2463909 + ... + 2506299.

Almost surely, 2^105346043664 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 105346043664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142054574592).

105346043664 is an abundant number, since it is smaller than the sum of its proper divisors (178763105520).

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

105346043664 is a wasteful number, since it uses less digits than its factorization.

105346043664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44676 (or 44670 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 105346043664 in words is "one hundred five billion, three hundred forty-six million, forty-three thousand, six hundred sixty-four".