106272527200 has 288 divisors, whose sum is σ = 304480512000. Its totient is φ = 35464366080.

The previous prime is 106272527191. The next prime is 106272527213. The reversal of 106272527200 is 2725272601.

It is a happy number.

It is a super-2 number, since 2×106272527200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 52375786 + ... + 52377814.

It is an arithmetic number, because the mean of its divisors is an integer number (1057224000).

Almost surely, 2^106272527200 is an apocalyptic number.

106272527200 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 106272527200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152240256000).

106272527200 is an abundant number, since it is smaller than the sum of its proper divisors (198207984800).

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

106272527200 is a wasteful number, since it uses less digits than its factorization.

106272527200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

Adding to 106272527200 its reverse (2725272601), we get a palindrome (108997799801).

The spelling of 106272527200 in words is "one hundred six billion, two hundred seventy-two million, five hundred twenty-seven thousand, two hundred".