100833000 has 256 divisors, whose sum is σ = 348192000. Its totient is φ = 24192000.

The previous prime is 100832999. The next prime is 100833011. The reversal of 100833000 is 338001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1652970 + ... + 1653030.

It is an arithmetic number, because the mean of its divisors is an integer number (1360125).

Almost surely, 2^100833000 is an apocalyptic number.

100833000 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 100833000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096000).

100833000 is an abundant number, since it is smaller than the sum of its proper divisors (247359000).

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

100833000 is a wasteful number, since it uses less digits than its factorization.

100833000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 100833000 is about 10041.5636232611. The cubic root of 100833000 is about 465.4441357221. Note that the first 3 decimals are identical.

The spelling of 100833000 in words is "one hundred million, eight hundred thirty-three thousand".