100109800 has 96 divisors (see below), whose sum is σ = 277660800. Its totient is φ = 32820480.

The previous prime is 100109783. The next prime is 100109809. The reversal of 100109800 is 8901001.

It is not an unprimeable number, because it can be changed into a prime (100109809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30646 + ... + 33754.

It is an arithmetic number, because the mean of its divisors is an integer number (2892300).

Almost surely, 2^100109800 is an apocalyptic number.

100109800 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 100109800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138830400).

100109800 is an abundant number, since it is smaller than the sum of its proper divisors (177551000).

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

100109800 is a wasteful number, since it uses less digits than its factorization.

100109800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 100109800 is about 10005.4884938218. The cubic root of 100109800 is about 464.3287033736.

The spelling of 100109800 in words is "one hundred million, one hundred nine thousand, eight hundred".