100855608 has 128 divisors (see below), whose sum is σ = 301086720. Its totient is φ = 27555840.

The previous prime is 100855583. The next prime is 100855627. The reversal of 100855608 is 806558001.

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, 418368 + ... + 418608.

It is an arithmetic number, because the mean of its divisors is an integer number (2352240).

Almost surely, 2^100855608 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 100855608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150543360).

100855608 is an abundant number, since it is smaller than the sum of its proper divisors (200231112).

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

100855608 is a wasteful number, since it uses less digits than its factorization.

100855608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 100855608 is about 10042.6892812633. The cubic root of 100855608 is about 465.4789192244.

It can be divided in two parts, 1008 and 55608, that added together give a triangular number (56616 = T₃₃₆).

The spelling of 100855608 in words is "one hundred million, eight hundred fifty-five thousand, six hundred eight".