106027200 has 252 divisors, whose sum is σ = 388975600. Its totient is φ = 27371520.

The previous prime is 106027153. The next prime is 106027231. The reversal of 106027200 is 2720601.

It is a happy number.

It is a super-2 number, since 2×106027200² = 22483534279680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532701 + ... + 532899.

Almost surely, 2^106027200 is an apocalyptic number.

106027200 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 106027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194487800).

106027200 is an abundant number, since it is smaller than the sum of its proper divisors (282948400).

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

106027200 is a wasteful number, since it uses less digits than its factorization.

106027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 106027200 is about 10296.9510050306. The cubic root of 106027200 is about 473.3028259559.

Adding to 106027200 its reverse (2720601), we get a palindrome (108747801).

The spelling of 106027200 in words is "one hundred six million, twenty-seven thousand, two hundred".