105320373500160 has 4608 divisors, whose sum is σ = 509121220608000. Its totient is φ = 19982873788416.

The previous prime is 105320373500117. The next prime is 105320373500191. The reversal of 105320373500160 is 61005373023501.

105320373500160 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 20 + 3 + 73 + 500 + 1 + 60 = 666.

105320373500160 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 2×105320373500160² (a number of 29 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 polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 270746461246 + ... + 270746461634.

It is an arithmetic number, because the mean of its divisors is an integer number (110486376000).

Almost surely, 2^{105320373500160} is an apocalyptic number.

105320373500160 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 105320373500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254560610304000).

105320373500160 is an abundant number, since it is smaller than the sum of its proper divisors (403800847107840).

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

105320373500160 is a wasteful number, since it uses less digits than its factorization.

105320373500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 105320373500160 in words is "one hundred five trillion, three hundred twenty billion, three hundred seventy-three million, five hundred thousand, one hundred sixty".