105545160 has 256 divisors, whose sum is σ = 420249600. Its totient is φ = 23037696.

The previous prime is 105545147. The next prime is 105545161. The reversal of 105545160 is 61545501.

It is a happy number.

105545160 is a `hidden beast` number, since 1 + 0 + 554 + 51 + 60 = 666.

It is a super-2 number, since 2×105545160² = 22279561598851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105545161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173577 + ... + 174183.

It is an arithmetic number, because the mean of its divisors is an integer number (1641600).

Almost surely, 2^105545160 is an apocalyptic number.

105545160 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 105545160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210124800).

105545160 is an abundant number, since it is smaller than the sum of its proper divisors (314704440).

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

105545160 is a wasteful number, since it uses less digits than its factorization.

105545160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105545160 is about 10273.5174112862. The cubic root of 105545160 is about 472.5844646179.

The spelling of 105545160 in words is "one hundred five million, five hundred forty-five thousand, one hundred sixty".