106203330 has 48 divisors (see below), whose sum is σ = 277388280. Its totient is φ = 28191744.

The previous prime is 106203323. The next prime is 106203337. The reversal of 106203330 is 33302601.

It is a happy number.

106203330 is a `hidden beast` number, since 10 + 620 + 3 + 3 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (106203323) and next prime (106203337).

It can be written as a sum of positive squares in 4 ways, for example, as 104223681 + 1979649 = 10209^2 + 1407^2 .

It is a super-2 number, since 2×106203330² = 22558294606177800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106203337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18034 + ... + 23186.

Almost surely, 2^106203330 is an apocalyptic number.

106203330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10305×10306.

It is a practical number, because each smaller number is the sum of distinct divisors of 106203330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138694140).

106203330 is an abundant number, since it is smaller than the sum of its proper divisors (171184950).

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

106203330 is a wasteful number, since it uses less digits than its factorization.

106203330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5395 (or 5392 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 106203330 is about 10305.4999878706. The cubic root of 106203330 is about 473.5647609724.

Adding to 106203330 its reverse (33302601), we get a palindrome (139505931).

The spelling of 106203330 in words is "one hundred six million, two hundred three thousand, three hundred thirty".