105090860160 has 1024 divisors, whose sum is σ = 444165120000. Its totient is φ = 23146905600.

The previous prime is 105090860099. The next prime is 105090860177. The reversal of 105090860160 is 61068090501.

105090860160 is a `hidden beast` number, since 10 + 509 + 0 + 86 + 0 + 1 + 60 = 666.

105090860160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105090860160² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175443541 + ... + 175444139.

It is an arithmetic number, because the mean of its divisors is an integer number (433755000).

Almost surely, 2^105090860160 is an apocalyptic number.

105090860160 is a gapful number since it is divisible by the number (10) 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 105090860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082560000).

105090860160 is an abundant number, since it is smaller than the sum of its proper divisors (339074259840).

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

105090860160 is a wasteful number, since it uses less digits than its factorization.

105090860160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 105090860160 in words is "one hundred five billion, ninety million, eight hundred sixty thousand, one hundred sixty".