105142144 has 64 divisors (see below), whose sum is σ = 223808400. Its totient is φ = 49029120.

The previous prime is 105142133. The next prime is 105142151. The reversal of 105142144 is 441241501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105142144² = 22109740889833472, 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, 459022 + ... + 459250.

Almost surely, 2^105142144 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 105142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111904200).

105142144 is an abundant number, since it is smaller than the sum of its proper divisors (118666256).

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

105142144 is a wasteful number, since it uses less digits than its factorization.

105142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 105142144 is about 10253.8843371671. The cubic root of 105142144 is about 471.9821883540.

Adding to 105142144 its reverse (441241501), we get a palindrome (546383645).

The spelling of 105142144 in words is "one hundred five million, one hundred forty-two thousand, one hundred forty-four".