106110632200 has 96 divisors (see below), whose sum is σ = 257493909960. Its totient is φ = 40627558400.

The previous prime is 106110632191. The next prime is 106110632207. The reversal of 106110632200 is 2236011601.

106110632200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 20375278564 + 85735353636 = 142742^2 + 292806^2 .

It is a super-2 number, since 2×106110632200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106110632207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312522 + ... + 556678.

Almost surely, 2^106110632200 is an apocalyptic number.

106110632200 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 106110632200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128746954980).

106110632200 is an abundant number, since it is smaller than the sum of its proper divisors (151383277760).

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

106110632200 is a wasteful number, since it uses less digits than its factorization.

106110632200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244267 (or 244258 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 106110632200 its reverse (2236011601), we get a palindrome (108346643801).

The spelling of 106110632200 in words is "one hundred six billion, one hundred ten million, six hundred thirty-two thousand, two hundred".