100033320 has 128 divisors (see below), whose sum is σ = 311040000. Its totient is φ = 25724160.

The previous prime is 100033319. The next prime is 100033327. The reversal of 100033320 is 23330001.

It is a happy number.

It is a super-2 number, since 2×100033320² = 20013330220444800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100033296 and 100033305.

It is not an unprimeable number, because it can be changed into a prime (100033327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502581 + ... + 502779.

It is an arithmetic number, because the mean of its divisors is an integer number (2430000).

Almost surely, 2^100033320 is an apocalyptic number.

100033320 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 100033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520000).

100033320 is an abundant number, since it is smaller than the sum of its proper divisors (211006680).

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

100033320 is a wasteful number, since it uses less digits than its factorization.

100033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 100033320 is about 10001.6658612453. The cubic root of 100033320 is about 464.2104302165.

Adding to 100033320 its reverse (23330001), we get a palindrome (123363321).

The spelling of 100033320 in words is "one hundred million, thirty-three thousand, three hundred twenty".