105500160 has 240 divisors, whose sum is σ = 386202960. Its totient is φ = 26542080.

The previous prime is 105500123. The next prime is 105500203. The reversal of 105500160 is 61005501.

105500160 is a `hidden beast` number, since 1 + 0 + 5 + 500 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105500160² = 22260567520051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437640 + ... + 437880.

It is an arithmetic number, because the mean of its divisors is an integer number (1609179).

Almost surely, 2^105500160 is an apocalyptic number.

105500160 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 105500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193101480).

105500160 is an abundant number, since it is smaller than the sum of its proper divisors (280702800).

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

105500160 is a wasteful number, since it uses less digits than its factorization.

105500160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105500160 is about 10271.3270807623. The cubic root of 105500160 is about 472.5172917162.

Adding to 105500160 its reverse (61005501), we get a palindrome (166505661).

The spelling of 105500160 in words is "one hundred five million, five hundred thousand, one hundred sixty".