100835808 has 72 divisors (see below), whose sum is σ = 273758184. Its totient is φ = 32497920.

The previous prime is 100835803. The next prime is 100835873. The reversal of 100835808 is 808538001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100835803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91710 + ... + 92802.

It is an arithmetic number, because the mean of its divisors is an integer number (3802197).

Almost surely, 2^100835808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100835808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136879092).

100835808 is an abundant number, since it is smaller than the sum of its proper divisors (172922376).

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

100835808 is a wasteful number, since it uses less digits than its factorization.

100835808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 100835808 is about 10041.7034411498. The cubic root of 100835808 is about 465.4484562488.

The spelling of 100835808 in words is "one hundred million, eight hundred thirty-five thousand, eight hundred eight".