105055936 has 28 divisors (see below), whose sum is σ = 208796128. Its totient is φ = 52445952.

The previous prime is 105055901. The next prime is 105055949. The reversal of 105055936 is 639550501.

It is a super-2 number, since 2×105055936² = 22073499377672192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78505 + ... + 79831.

Almost surely, 2^105055936 is an apocalyptic number.

105055936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105055936 is a deficient number, since it is larger than the sum of its proper divisors (103740192).

105055936 is a wasteful number, since it uses less digits than its factorization.

105055936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 34.

The square root of 105055936 is about 10249.6797998767. The cubic root of 105055936 is about 471.8531574235.

The spelling of 105055936 in words is "one hundred five million, fifty-five thousand, nine hundred thirty-six".