106823211300 has 216 divisors, whose sum is σ = 361634709800. Its totient is φ = 26218598400.

The previous prime is 106823211251. The next prime is 106823211307. The reversal of 106823211300 is 3112328601.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 48564699876 + 58258511424 = 220374^2 + 241368^2 .

It is a super-2 number, since 2×106823211300² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106823211307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4070220 + ... + 4096380.

Almost surely, 2^106823211300 is an apocalyptic number.

106823211300 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 106823211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180817354900).

106823211300 is an abundant number, since it is smaller than the sum of its proper divisors (254811498500).

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

106823211300 is a wasteful number, since it uses less digits than its factorization.

106823211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26543 (or 26533 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 106823211300 its reverse (3112328601), we get a palindrome (109935539901).

The spelling of 106823211300 in words is "one hundred six billion, eight hundred twenty-three million, two hundred eleven thousand, three hundred".