106288200 has 156 divisors (see below), whose sum is σ = 370679865. Its totient is φ = 28343520.

The previous prime is 106288187. The next prime is 106288211. The reversal of 106288200 is 2882601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

106288200 is a `hidden beast` number, since 10 + 628 + 8 + 20 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 2125764 = 10206^2 + 1458^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7290.

It is a super-2 number, since 2×106288200² = 22594362918480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 21257638 + ... + 21257642.

Almost surely, 2^106288200 is an apocalyptic number.

106288200 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 106288200

106288200 is an abundant number, since it is smaller than the sum of its proper divisors (264391665).

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

106288200 is an frugal number, since it uses more digits than its factorization.

106288200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 106288200 is about 10309.6168696999. The cubic root of 106288200 is about 473.6908735905.

The spelling of 106288200 in words is "one hundred six million, two hundred eighty-eight thousand, two hundred".