213007104 has 72 divisors (see below), whose sum is σ = 629919920. Its totient is φ = 71000064.

The previous prime is 213007099. The next prime is 213007111. The reversal of 213007104 is 401700312.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 8497 + ... + 22320.

Almost surely, 2^213007104 is an apocalyptic number.

213007104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213007104 is an abundant number, since it is smaller than the sum of its proper divisors (416912816).

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

213007104 is an equidigital number, since it uses as much as digits as its factorization.

213007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30842 (or 30822 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 213007104 is about 14594.7628963269. The cubic root of 213007104 is about 597.2159013057.

Adding to 213007104 its reverse (401700312), we get a palindrome (614707416).

The spelling of 213007104 in words is "two hundred thirteen million, seven thousand, one hundred four".