105142000524 has 48 divisors (see below), whose sum is σ = 269276165760. Its totient is φ = 31665738240.

The previous prime is 105142000487. The next prime is 105142000531. The reversal of 105142000524 is 425000241501.

It is a super-2 number, since 2×105142000524² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105142000494 and 105142000503.

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, 2421829 + ... + 2464860.

It is an arithmetic number, because the mean of its divisors is an integer number (5609920120).

Almost surely, 2^105142000524 is an apocalyptic number.

It is an amenable number.

105142000524 is an abundant number, since it is smaller than the sum of its proper divisors (164134165236).

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

105142000524 is a wasteful number, since it uses less digits than its factorization.

105142000524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886870 (or 4886868 counting only the distinct ones).

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

The spelling of 105142000524 in words is "one hundred five billion, one hundred forty-two million, five hundred twenty-four", and thus it is an aban number.