101144320 has 72 divisors (see below), whose sum is σ = 250185600. Its totient is φ = 39137280.

The previous prime is 101144311. The next prime is 101144357. The reversal of 101144320 is 23441101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101144294 and 101144303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38406 + ... + 40954.

It is an arithmetic number, because the mean of its divisors is an integer number (3474800).

Almost surely, 2^101144320 is an apocalyptic number.

101144320 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 101144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125092800).

101144320 is an abundant number, since it is smaller than the sum of its proper divisors (149041280).

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

101144320 is an equidigital number, since it uses as much as digits as its factorization.

101144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 101144320 is about 10057.0532463540. The cubic root of 101144320 is about 465.9226602664.

Adding to 101144320 its reverse (23441101), we get a palindrome (124585421).

The spelling of 101144320 in words is "one hundred one million, one hundred forty-four thousand, three hundred twenty".