100833320 has 64 divisors (see below), whose sum is σ = 261360000. Its totient is φ = 34295040.

The previous prime is 100833287. The next prime is 100833347. The reversal of 100833320 is 23338001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100833292 and 100833301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35306 + ... + 38054.

It is an arithmetic number, because the mean of its divisors is an integer number (4083750).

Almost surely, 2^100833320 is an apocalyptic number.

100833320 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 100833320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130680000).

100833320 is an abundant number, since it is smaller than the sum of its proper divisors (160526680).

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

100833320 is a wasteful number, since it uses less digits than its factorization.

100833320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 100833320 is about 10041.5795570219. The cubic root of 100833320 is about 465.4446280938. Note that the first 3 decimals are identical.

The spelling of 100833320 in words is "one hundred million, eight hundred thirty-three thousand, three hundred twenty".