105050538 has 24 divisors (see below), whose sum is σ = 228571200. Its totient is φ = 34868904.

The previous prime is 105050483. The next prime is 105050551. The reversal of 105050538 is 835050501.

It is a super-2 number, since 2×105050538² = 22071231068178888, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 7908 + ... + 16511.

It is an arithmetic number, because the mean of its divisors is an integer number (9523800).

Almost surely, 2^105050538 is an apocalyptic number.

105050538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105050538 is an abundant number, since it is smaller than the sum of its proper divisors (123520662).

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

105050538 is a wasteful number, since it uses less digits than its factorization.

105050538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24666 (or 24663 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105050538 is about 10249.4164711948. The cubic root of 105050538 is about 471.8450756750.

The spelling of 105050538 in words is "one hundred five million, fifty thousand, five hundred thirty-eight".