105005950 has 24 divisors (see below), whose sum is σ = 223213392. Its totient is φ = 36001920.

The previous prime is 105005939. The next prime is 105005969. The reversal of 105005950 is 59500501.

It is a super-2 number, since 2×105005950² = 22052499070805000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 149659 + ... + 150358.

It is an arithmetic number, because the mean of its divisors is an integer number (9300558).

Almost surely, 2^105005950 is an apocalyptic number.

105005950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105005950 is an abundant number, since it is smaller than the sum of its proper divisors (118207442).

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

105005950 is a wasteful number, since it uses less digits than its factorization.

105005950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300036 (or 300031 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 25.

The square root of 105005950 is about 10247.2410921184. The cubic root of 105005950 is about 471.7783090631.

The spelling of 105005950 in words is "one hundred five million, five thousand, nine hundred fifty".