105252524 has 18 divisors (see below), whose sum is σ = 199451700. Its totient is φ = 48577776.

The previous prime is 105252503. The next prime is 105252527. The reversal of 105252524 is 425252501.

It is a super-2 number, since 2×105252524² = 22156187616741152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 105252493 and 105252502.

It is not an unprimeable number, because it can be changed into a prime (105252527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77174 + ... + 78525.

It is an arithmetic number, because the mean of its divisors is an integer number (11080650).

Almost surely, 2^105252524 is an apocalyptic number.

It is an amenable number.

105252524 is a deficient number, since it is larger than the sum of its proper divisors (94199176).

105252524 is a wasteful number, since it uses less digits than its factorization.

105252524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155729 (or 155714 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 105252524 is about 10259.2652758373. The cubic root of 105252524 is about 472.1472955498.

The spelling of 105252524 in words is "one hundred five million, two hundred fifty-two thousand, five hundred twenty-four".