106213202304 has 64 divisors (see below), whose sum is σ = 307776905280. Its totient is φ = 32185817600.

The previous prime is 106213202273. The next prime is 106213202309. The reversal of 106213202304 is 403202312601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106213202304² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106213202309) 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, 12568362 + ... + 12576809.

It is an arithmetic number, because the mean of its divisors is an integer number (4809014145).

Almost surely, 2^106213202304 is an apocalyptic number.

It is an amenable number.

106213202304 is an abundant number, since it is smaller than the sum of its proper divisors (201563702976).

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

106213202304 is a wasteful number, since it uses less digits than its factorization.

106213202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25145199 (or 25145187 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 106213202304 its reverse (403202312601), we get a palindrome (509415514905).

The spelling of 106213202304 in words is "one hundred six billion, two hundred thirteen million, two hundred two thousand, three hundred four".