105253538 has 24 divisors (see below), whose sum is σ = 172282788. Its totient is φ = 48202752.

The previous prime is 105253531. The next prime is 105253541. The reversal of 105253538 is 835352501.

It can be written as a sum of positive squares in 6 ways, for example, as 39853969 + 65399569 = 6313^2 + 8087^2 .

It is a super-2 number, since 2×105253538² = 22156614523034888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105253531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45170 + ... + 47442.

Almost surely, 2^105253538 is an apocalyptic number.

105253538 is a deficient number, since it is larger than the sum of its proper divisors (67029250).

105253538 is a wasteful number, since it uses less digits than its factorization.

105253538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 105253538 is about 10259.3146944618. The cubic root of 105253538 is about 472.1488117631.

The spelling of 105253538 in words is "one hundred five million, two hundred fifty-three thousand, five hundred thirty-eight".