105209850 has 24 divisors (see below), whose sum is σ = 260920800. Its totient is φ = 28055920.

The previous prime is 105209831. The next prime is 105209861. The reversal of 105209850 is 58902501.

It is a super-2 number, since 2×105209850² = 22138225074045000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350550 + ... + 350849.

It is an arithmetic number, because the mean of its divisors is an integer number (10871700).

Almost surely, 2^105209850 is an apocalyptic number.

105209850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105209850 is an abundant number, since it is smaller than the sum of its proper divisors (155710950).

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

105209850 is a wasteful number, since it uses less digits than its factorization.

105209850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701414 (or 701409 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 105209850 is about 10257.1852864224. The cubic root of 105209850 is about 472.0834771679.

The spelling of 105209850 in words is "one hundred five million, two hundred nine thousand, eight hundred fifty".