105402144 has 96 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 33638400.

The previous prime is 105402133. The next prime is 105402151. The reversal of 105402144 is 441204501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×105402144³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105402144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239877 + ... + 240315.

It is an arithmetic number, because the mean of its divisors is an integer number (3007620).

Almost surely, 2^105402144 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 105402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

105402144 is an abundant number, since it is smaller than the sum of its proper divisors (183329376).

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

105402144 is a wasteful number, since it uses less digits than its factorization.

105402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 105402144 is about 10266.5546314233. The cubic root of 105402144 is about 472.3709140387.

Adding to 105402144 its reverse (441204501), we get a palindrome (546606645).

The spelling of 105402144 in words is "one hundred five million, four hundred two thousand, one hundred forty-four".