100033920 has 256 divisors, whose sum is σ = 405388800. Its totient is φ = 22837248.

The previous prime is 100033919. The next prime is 100034003. The reversal of 100033920 is 29330001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100033893 and 100033902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120547 + ... + 121373.

It is an arithmetic number, because the mean of its divisors is an integer number (1583550).

Almost surely, 2^100033920 is an apocalyptic number.

100033920 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 100033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202694400).

100033920 is an abundant number, since it is smaller than the sum of its proper divisors (305354880).

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

100033920 is an equidigital number, since it uses as much as digits as its factorization.

100033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 100033920 is about 10001.6958562036. The cubic root of 100033920 is about 464.2113583263.

Adding to 100033920 its reverse (29330001), we get a palindrome (129363921).

The spelling of 100033920 in words is "one hundred million, thirty-three thousand, nine hundred twenty".