105142024 has 16 divisors (see below), whose sum is σ = 212306220. Its totient is φ = 48527040.

The previous prime is 105142013. The next prime is 105142061. The reversal of 105142024 is 420241501.

It can be written as a sum of positive squares in 2 ways, for example, as 105062500 + 79524 = 10250^2 + 282^2 .

It is a super-2 number, since 2×105142024² = 22109690421633152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105141992 and 105142010.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 505387 + ... + 505594.

Almost surely, 2^105142024 is an apocalyptic number.

It is an amenable number.

105142024 is an abundant number, since it is smaller than the sum of its proper divisors (107164196).

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

105142024 is a wasteful number, since it uses less digits than its factorization.

105142024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011000 (or 1010996 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 105142024 is about 10253.8784857243. The cubic root of 105142024 is about 471.9820087943.

Adding to 105142024 its reverse (420241501), we get a palindrome (525383525).

It can be divided in two parts, 105 and 142024, that added together give a square (142129 = 377²).

The spelling of 105142024 in words is "one hundred five million, one hundred forty-two thousand, twenty-four".