106127200 has 72 divisors (see below), whose sum is σ = 264076848. Its totient is φ = 41633280.

The previous prime is 106127173. The next prime is 106127207. The reversal of 106127200 is 2721601.

It is a super-2 number, since 2×106127200² = 22525965159680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106127207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41149 + ... + 43651.

It is an arithmetic number, because the mean of its divisors is an integer number (3667734).

Almost surely, 2^106127200 is an apocalyptic number.

106127200 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 106127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132038424).

106127200 is an abundant number, since it is smaller than the sum of its proper divisors (157949648).

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

106127200 is a wasteful number, since it uses less digits than its factorization.

106127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 106127200 is about 10301.8056669693. The cubic root of 106127200 is about 473.4515783844.

Adding to 106127200 its reverse (2721601), we get a palindrome (108848801).

The spelling of 106127200 in words is "one hundred six million, one hundred twenty-seven thousand, two hundred".