105142524 has 12 divisors (see below), whose sum is σ = 245332584. Its totient is φ = 35047504.

The previous prime is 105142463. The next prime is 105142547. The reversal of 105142524 is 425241501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105142524² = 22109900706181152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105142494 and 105142503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4380927 + ... + 4380950.

It is an arithmetic number, because the mean of its divisors is an integer number (20444382).

Almost surely, 2^105142524 is an apocalyptic number.

It is an amenable number.

105142524 is an abundant number, since it is smaller than the sum of its proper divisors (140190060).

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

105142524 is a wasteful number, since it uses less digits than its factorization.

105142524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8761884 (or 8761882 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 105142524 is about 10253.9028667137. The cubic root of 105142524 is about 471.9827569589.

The spelling of 105142524 in words is "one hundred five million, one hundred forty-two thousand, five hundred twenty-four".