105549717168 has 420 divisors, whose sum is σ = 369932425488. Its totient is φ = 28561870080.

The previous prime is 105549717139. The next prime is 105549717179. The reversal of 105549717168 is 861717945501.

105549717168 is a `hidden beast` number, since 1 + 0 + 554 + 9 + 71 + 7 + 16 + 8 = 666.

It is a super-2 number, since 2×105549717168² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 29473138 + ... + 29476718.

Almost surely, 2^105549717168 is an apocalyptic number.

105549717168 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 105549717168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184966212744).

105549717168 is an abundant number, since it is smaller than the sum of its proper divisors (264382708320).

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

105549717168 is an equidigital number, since it uses as much as digits as its factorization.

105549717168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 105549717168 in words is "one hundred five billion, five hundred forty-nine million, seven hundred seventeen thousand, one hundred sixty-eight".