105141568 has 56 divisors (see below), whose sum is σ = 244929152. Its totient is φ = 43835904.

The previous prime is 105141551. The next prime is 105141571. The reversal of 105141568 is 865141501.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×105141568² = 22109498642997248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13405 + ... + 19747.

Almost surely, 2^105141568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122464576).

105141568 is an abundant number, since it is smaller than the sum of its proper divisors (139787584).

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

105141568 is an equidigital number, since it uses as much as digits as its factorization.

105141568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The square root of 105141568 is about 10253.8562502114. The cubic root of 105141568 is about 471.9813264661.

The spelling of 105141568 in words is "one hundred five million, one hundred forty-one thousand, five hundred sixty-eight".