105559469568 has 400 divisors, whose sum is σ = 366239237760. Its totient is φ = 29643853824.

The previous prime is 105559469551. The next prime is 105559469591. The reversal of 105559469568 is 865964955501.

105559469568 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 5 + 9 + 4 + 69 + 568 = 666.

It is a super-2 number, since 2×105559469568² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17124855 + ... + 17131017.

Almost surely, 2^105559469568 is an apocalyptic number.

105559469568 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 105559469568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183119618880).

105559469568 is an abundant number, since it is smaller than the sum of its proper divisors (260679768192).

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

105559469568 is an frugal number, since it uses more digits than its factorization.

105559469568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6259 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 63.

The spelling of 105559469568 in words is "one hundred five billion, five hundred fifty-nine million, four hundred sixty-nine thousand, five hundred sixty-eight".