101868900 has 144 divisors (see below), whose sum is σ = 339978240. Its totient is φ = 23068800.

The previous prime is 101868857. The next prime is 101868919. The reversal of 101868900 is 9868101.

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 47 ways as a sum of consecutive naturals, for example, 375765 + ... + 376035.

It is an arithmetic number, because the mean of its divisors is an integer number (2360960).

Almost surely, 2^101868900 is an apocalyptic number.

101868900 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 101868900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

101868900 is an abundant number, since it is smaller than the sum of its proper divisors (238109340).

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

101868900 is a wasteful number, since it uses less digits than its factorization.

101868900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 101868900 is about 10093.0124343528. The cubic root of 101868900 is about 467.0326097910.

The spelling of 101868900 in words is "one hundred one million, eight hundred sixty-eight thousand, nine hundred".