105342160 has 160 divisors (see below), whose sum is σ = 312480000. Its totient is φ = 32739840.

The previous prime is 105342143. The next prime is 105342169. The reversal of 105342160 is 61243501.

It is a super-2 number, since 2×105342160² = 22193941346931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105342169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301666 + ... + 302014.

It is an arithmetic number, because the mean of its divisors is an integer number (1953000).

Almost surely, 2^105342160 is an apocalyptic number.

105342160 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 105342160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

105342160 is an abundant number, since it is smaller than the sum of its proper divisors (207137840).

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

105342160 is a wasteful number, since it uses less digits than its factorization.

105342160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 105342160 is about 10263.6328850948. The cubic root of 105342160 is about 472.2812888104.

Adding to 105342160 its reverse (61243501), we get a palindrome (166585661).

The spelling of 105342160 in words is "one hundred five million, three hundred forty-two thousand, one hundred sixty".