106314321300 has 144 divisors (see below), whose sum is σ = 337627057152. Its totient is φ = 25614921600.

The previous prime is 106314321299. The next prime is 106314321301. The reversal of 106314321300 is 3123413601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106314321299) and next prime (106314321301).

It is a super-2 number, since 2×106314321300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106314321301) 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 47 ways as a sum of consecutive naturals, for example, 439077 + ... + 636723.

Almost surely, 2^106314321300 is an apocalyptic number.

106314321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106314321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168813528576).

106314321300 is an abundant number, since it is smaller than the sum of its proper divisors (231312735852).

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

106314321300 is a wasteful number, since it uses less digits than its factorization.

106314321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197838 (or 197831 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 106314321300 its reverse (3123413601), we get a palindrome (109437734901).

The spelling of 106314321300 in words is "one hundred six billion, three hundred fourteen million, three hundred twenty-one thousand, three hundred".