105442456 has 64 divisors (see below), whose sum is σ = 232070400. Its totient is φ = 43984512.

The previous prime is 105442433. The next prime is 105442459. The reversal of 105442456 is 654244501.

It is a happy number.

It is a super-2 number, since 2×105442456² = 22236223054623872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105442459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588975 + ... + 589153.

It is an arithmetic number, because the mean of its divisors is an integer number (3626100).

Almost surely, 2^105442456 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 105442456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116035200).

105442456 is an abundant number, since it is smaller than the sum of its proper divisors (126627944).

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

105442456 is a wasteful number, since it uses less digits than its factorization.

105442456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 105442456 is about 10268.5177119193. The cubic root of 105442456 is about 472.4311272009.

Adding to 105442456 its reverse (654244501), we get a palindrome (759686957).

The spelling of 105442456 in words is "one hundred five million, four hundred forty-two thousand, four hundred fifty-six".