105203682 has 48 divisors (see below), whose sum is σ = 232771968. Its totient is φ = 34332480.

The previous prime is 105203647. The next prime is 105203687. The reversal of 105203682 is 286302501.

It is a super-2 number, since 2×105203682² = 22135629412714248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105203687) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 335958 + ... + 336270.

It is an arithmetic number, because the mean of its divisors is an integer number (4849416).

Almost surely, 2^105203682 is an apocalyptic number.

105203682 is an abundant number, since it is smaller than the sum of its proper divisors (127568286).

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

105203682 is a wasteful number, since it uses less digits than its factorization.

105203682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105203682 is about 10256.8846147356. The cubic root of 105203682 is about 472.0742515811.

The spelling of 105203682 in words is "one hundred five million, two hundred three thousand, six hundred eighty-two".