106003200 has 108 divisors (see below), whose sum is σ = 349896008. Its totient is φ = 28262400.

The previous prime is 106003199. The next prime is 106003231. The reversal of 106003200 is 2300601.

It is a super-2 number, since 2×106003200² = 22473356820480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 11 ways as a sum of consecutive naturals, for example, 16440 + ... + 21960.

Almost surely, 2^106003200 is an apocalyptic number.

106003200 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 106003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174948004).

106003200 is an abundant number, since it is smaller than the sum of its proper divisors (243892808).

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

106003200 is an equidigital number, since it uses as much as digits as its factorization.

106003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 106003200 is about 10295.7855455521. The cubic root of 106003200 is about 473.2671114568.

Adding to 106003200 its reverse (2300601), we get a palindrome (108303801).

The spelling of 106003200 in words is "one hundred six million, three thousand, two hundred".