105442304 has 132 divisors (see below), whose sum is σ = 248292912. Its totient is φ = 44605440.

The previous prime is 105442301. The next prime is 105442307. The reversal of 105442304 is 403244501.

It is an interprime number because it is at equal distance from previous prime (105442301) and next prime (105442307).

It is a super-2 number, since 2×105442304² = 22236158945656832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 105442304.

It is not an unprimeable number, because it can be changed into a prime (105442301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2849774 + ... + 2849810.

Almost surely, 2^105442304 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 105442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124146456).

105442304 is an abundant number, since it is smaller than the sum of its proper divisors (142850608).

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

105442304 is a wasteful number, since it uses less digits than its factorization.

105442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 105442304 is about 10268.5103106536. The cubic root of 105442304 is about 472.4309001907.

Adding to 105442304 its reverse (403244501), we get a palindrome (508686805).

The spelling of 105442304 in words is "one hundred five million, four hundred forty-two thousand, three hundred four".