33020100 has 108 divisors (see below), whose sum is σ = 109003440. Its totient is φ = 8337600.

The previous prime is 33020089. The next prime is 33020107. The reversal of 33020100 is 102033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (33020107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16135 + ... + 18065.

Almost surely, 2^33020100 is an apocalyptic number.

33020100 is a gapful number since it is divisible by the number (30) 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 33020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54501720).

33020100 is an abundant number, since it is smaller than the sum of its proper divisors (75983340).

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

33020100 is a wasteful number, since it uses less digits than its factorization.

33020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 33020100 is about 5746.3118606633. The cubic root of 33020100 is about 320.8185424489.

Adding to 33020100 its reverse (102033), we get a palindrome (33122133).

The spelling of 33020100 in words is "thirty-three million, twenty thousand, one hundred".