100833672 has 32 divisors (see below), whose sum is σ = 252362880. Its totient is φ = 33574080.

The previous prime is 100833661. The next prime is 100833673. The reversal of 100833672 is 276338001.

It is not an unprimeable number, because it can be changed into a prime (100833673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27838 + ... + 31250.

It is an arithmetic number, because the mean of its divisors is an integer number (7886340).

Almost surely, 2^100833672 is an apocalyptic number.

100833672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100833672 is an abundant number, since it is smaller than the sum of its proper divisors (151529208).

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

100833672 is a wasteful number, since it uses less digits than its factorization.

100833672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 100833672 is about 10041.5970841296. The cubic root of 100833672 is about 465.4451697016.

The spelling of 100833672 in words is "one hundred million, eight hundred thirty-three thousand, six hundred seventy-two".