105245524 has 24 divisors (see below), whose sum is σ = 195186600. Its totient is φ = 49566720.

The previous prime is 105245513. The next prime is 105245537. The reversal of 105245524 is 425542501.

It can be written as a sum of positive squares in 4 ways, for example, as 17073424 + 88172100 = 4132^2 + 9390^2 .

It is a super-2 number, since 2×105245524² = 22153240644069152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105245492 and 105245501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6309 + ... + 15820.

It is an arithmetic number, because the mean of its divisors is an integer number (8132775).

Almost surely, 2^105245524 is an apocalyptic number.

It is an amenable number.

105245524 is a deficient number, since it is larger than the sum of its proper divisors (89941076).

105245524 is a wasteful number, since it uses less digits than its factorization.

105245524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22203 (or 22201 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 105245524 is about 10258.9241151302. The cubic root of 105245524 is about 472.1368283286.

The spelling of 105245524 in words is "one hundred five million, two hundred forty-five thousand, five hundred twenty-four".