105223351978368 has 768 divisors, whose sum is σ = 365670927498240. Its totient is φ = 29823490621440.

The previous prime is 105223351978363. The next prime is 105223351978429. The reversal of 105223351978368 is 863879153322501.

105223351978368 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 2 + 33 + 519 + 7 + 83 + 6 + 8 = 666.

It is a super-2 number, since 2×105223351978368² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105223351978363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322914403 + ... + 323240093.

It is an arithmetic number, because the mean of its divisors is an integer number (476134020180).

Almost surely, 2^{105223351978368} is an apocalyptic number.

105223351978368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105223351978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182835463749120).

105223351978368 is an abundant number, since it is smaller than the sum of its proper divisors (260447575519872).

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

105223351978368 is a wasteful number, since it uses less digits than its factorization.

105223351978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325797 (or 325773 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 105223351978368 in words is "one hundred five trillion, two hundred twenty-three billion, three hundred fifty-one million, nine hundred seventy-eight thousand, three hundred sixty-eight".