105423336616 has 128 divisors (see below), whose sum is σ = 230819904000. Its totient is φ = 44716603392.

The previous prime is 105423336611. The next prime is 105423336619. The reversal of 105423336616 is 616633324501.

It is a super-2 number, since 2×105423336616² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105423336611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26830140 + ... + 26834068.

It is an arithmetic number, because the mean of its divisors is an integer number (1803280500).

Almost surely, 2^105423336616 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 105423336616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115409952000).

105423336616 is an abundant number, since it is smaller than the sum of its proper divisors (125396567384).

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

105423336616 is a wasteful number, since it uses less digits than its factorization.

105423336616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 105423336616 in words is "one hundred five billion, four hundred twenty-three million, three hundred thirty-six thousand, six hundred sixteen".