105536950 has 24 divisors (see below), whose sum is σ = 201607632. Its totient is φ = 41073120.

The previous prime is 105536947. The next prime is 105536957. The reversal of 105536950 is 59635501.

It is a super-2 number, since 2×105536950² = 22276095630605000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105536957) 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, 26674 + ... + 30373.

It is an arithmetic number, because the mean of its divisors is an integer number (8400318).

Almost surely, 2^105536950 is an apocalyptic number.

105536950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105536950 is a deficient number, since it is larger than the sum of its proper divisors (96070682).

105536950 is a wasteful number, since it uses less digits than its factorization.

105536950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57096 (or 57091 counting only the distinct ones).

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

The square root of 105536950 is about 10273.1178324791. The cubic root of 105536950 is about 472.5722107193.

The spelling of 105536950 in words is "one hundred five million, five hundred thirty-six thousand, nine hundred fifty".