106063200 has 108 divisors (see below), whose sum is σ = 374030748. Its totient is φ = 28281600.

The previous prime is 106063193. The next prime is 106063207. The reversal of 106063200 is 2360601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106063193) and next prime (106063207).

It is a super-2 number, since 2×106063200² = 22498804788480000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106063207) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 166 + ... + 14565.

Almost surely, 2^106063200 is an apocalyptic number.

106063200 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 106063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187015374).

106063200 is an abundant number, since it is smaller than the sum of its proper divisors (267967548).

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

106063200 is a wasteful number, since it uses less digits than its factorization.

106063200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14757 (or 14741 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106063200 is about 10298.6989469544. The cubic root of 106063200 is about 473.3563876007.

The spelling of 106063200 in words is "one hundred six million, sixty-three thousand, two hundred".