213105357 has 8 divisors (see below), whose sum is σ = 315711680. Its totient is φ = 142070220.

The previous prime is 213105337. The next prime is 213105367. The reversal of 213105357 is 753501312.

It is not a de Polignac number, because 213105357 - 2¹¹ = 213103309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 7892791 = 213105357 / (2 + 1 + 3 + 1 + 0 + 5 + 3 + 5 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213105357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213105307) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3946369 + ... + 3946422.

It is an arithmetic number, because the mean of its divisors is an integer number (39463960).

Almost surely, 2^213105357 is an apocalyptic number.

213105357 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

213105357 is a deficient number, since it is larger than the sum of its proper divisors (102606323).

213105357 is an equidigital number, since it uses as much as digits as its factorization.

213105357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892800 (or 7892794 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 213105357 is about 14598.1285444402. The cubic root of 213105357 is about 597.3077123816.

Adding to 213105357 its reverse (753501312), we get a palindrome (966606669).

It can be divided in two parts, 213 and 105357, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 213105357 in words is "two hundred thirteen million, one hundred five thousand, three hundred fifty-seven".