105563567575368 has 192 divisors, whose sum is σ = 333009553968000. Its totient is φ = 29584932535296.

The previous prime is 105563567575313. The next prime is 105563567575399. The reversal of 105563567575368 is 863575765365501.

105563567575368 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 6 + 3 + 567 + 5 + 7 + 53 + 6 + 8 = 666.

It is a super-2 number, since 2×105563567575368² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 105563567575296 and 105563567575305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9705298 + ... + 17473406.

It is an arithmetic number, because the mean of its divisors is an integer number (1734424760250).

Almost surely, 2^{105563567575368} is an apocalyptic number.

105563567575368 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 105563567575368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166504776984000).

105563567575368 is an abundant number, since it is smaller than the sum of its proper divisors (227445986392632).

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

105563567575368 is a wasteful number, since it uses less digits than its factorization.

105563567575368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7768644 (or 7768637 counting only the distinct ones).

The product of its (nonzero) digits is 2381400000, while the sum is 72.

The spelling of 105563567575368 in words is "one hundred five trillion, five hundred sixty-three billion, five hundred sixty-seven million, five hundred seventy-five thousand, three hundred sixty-eight".