105224010768 has 240 divisors, whose sum is σ = 314991357120. Its totient is φ = 33627847680.

The previous prime is 105224010757. The next prime is 105224010769. The reversal of 105224010768 is 867010422501.

105224010768 is a `hidden beast` number, since 10 + 522 + 40 + 10 + 76 + 8 = 666.

It is a super-2 number, since 2×105224010768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105224010769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46911055 + ... + 46913297.

It is an arithmetic number, because the mean of its divisors is an integer number (1312463988).

Almost surely, 2^105224010768 is an apocalyptic number.

105224010768 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 105224010768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157495678560).

105224010768 is an abundant number, since it is smaller than the sum of its proper divisors (209767346352).

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

105224010768 is a wasteful number, since it uses less digits than its factorization.

105224010768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 105224010768 in words is "one hundred five billion, two hundred twenty-four million, ten thousand, seven hundred sixty-eight".