105203364 has 24 divisors (see below), whose sum is σ = 280542528. Its totient is φ = 30058080.

The previous prime is 105203359. The next prime is 105203381. The reversal of 105203364 is 463302501.

It is a happy number.

It is a super-2 number, since 2×105203364² = 22135495593832992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626127 + ... + 626294.

It is an arithmetic number, because the mean of its divisors is an integer number (11689272).

Almost surely, 2^105203364 is an apocalyptic number.

105203364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105203364 is an abundant number, since it is smaller than the sum of its proper divisors (175339164).

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

105203364 is a wasteful number, since it uses less digits than its factorization.

105203364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252435 (or 1252433 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 105203364 is about 10256.8691129408. The cubic root of 105203364 is about 472.0737759331.

Adding to 105203364 its reverse (463302501), we get a palindrome (568505865).

The spelling of 105203364 in words is "one hundred five million, two hundred three thousand, three hundred sixty-four".