101144800 has 108 divisors (see below), whose sum is σ = 259202160. Its totient is φ = 38536960.

The previous prime is 101144789. The next prime is 101144801. The reversal of 101144800 is 8441101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101144801) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 423081 + ... + 423319.

It is an arithmetic number, because the mean of its divisors is an integer number (2400020).

Almost surely, 2^101144800 is an apocalyptic number.

101144800 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 101144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129601080).

101144800 is an abundant number, since it is smaller than the sum of its proper divisors (158057360).

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

101144800 is a wasteful number, since it uses less digits than its factorization.

101144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 101144800 is about 10057.0771101747. The cubic root of 101144800 is about 465.9233973073.

Adding to 101144800 its reverse (8441101), we get a palindrome (109585901).

The spelling of 101144800 in words is "one hundred one million, one hundred forty-four thousand, eight hundred".