105065950 has 72 divisors (see below), whose sum is σ = 226809144. Its totient is φ = 35904000.

The previous prime is 105065941. The next prime is 105065959. The reversal of 105065950 is 59560501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105065941) and next prime (105065959).

It is a super-2 number, since 2×105065950² = 22077707698805000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105065959) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158620 + ... + 159280.

It is an arithmetic number, because the mean of its divisors is an integer number (3150127).

Almost surely, 2^105065950 is an apocalyptic number.

105065950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105065950 is an abundant number, since it is smaller than the sum of its proper divisors (121743194).

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

105065950 is a wasteful number, since it uses less digits than its factorization.

105065950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 31.

The square root of 105065950 is about 10250.1682913014. The cubic root of 105065950 is about 471.8681493969.

The spelling of 105065950 in words is "one hundred five million, sixty-five thousand, nine hundred fifty".