100033220 has 48 divisors (see below), whose sum is σ = 240804480. Its totient is φ = 34193664.

The previous prime is 100033217. The next prime is 100033223. The reversal of 100033220 is 22330001.

100033220 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (100033217) and next prime (100033223).

It is not an unprimeable number, because it can be changed into a prime (100033223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56387 + ... + 58133.

It is an arithmetic number, because the mean of its divisors is an integer number (5016760).

Almost surely, 2^100033220 is an apocalyptic number.

100033220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100033220 is an abundant number, since it is smaller than the sum of its proper divisors (140771260).

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

100033220 is a wasteful number, since it uses less digits than its factorization.

100033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 100033220 is about 10001.6608620769. The cubic root of 100033220 is about 464.2102755312.

Adding to 100033220 its reverse (22330001), we get a palindrome (122363221).

The spelling of 100033220 in words is "one hundred million, thirty-three thousand, two hundred twenty".