105053936 has 20 divisors (see below), whose sum is σ = 219199512. Its totient is φ = 48486336.

The previous prime is 105053933. The next prime is 105053957. The reversal of 105053936 is 639350501.

It is a super-2 number, since 2×105053936² = 22072658938184192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105053933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252326 + ... + 252741.

Almost surely, 2^105053936 is an apocalyptic number.

105053936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105053936 is an abundant number, since it is smaller than the sum of its proper divisors (114145576).

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

105053936 is a wasteful number, since it uses less digits than its factorization.

105053936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505088 (or 505082 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 32.

The square root of 105053936 is about 10249.5822353889. The cubic root of 105053936 is about 471.8501631066.

It can be divided in two parts, 10505 and 3936, that added together give a palindrome (14441).

The spelling of 105053936 in words is "one hundred five million, fifty-three thousand, nine hundred thirty-six".