101304144 has 120 divisors (see below), whose sum is σ = 300605760. Its totient is φ = 31781376.

The previous prime is 101304107. The next prime is 101304169. The reversal of 101304144 is 441403101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 241567 + ... + 241985.

It is an arithmetic number, because the mean of its divisors is an integer number (2505048).

Almost surely, 2^101304144 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 101304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150302880).

101304144 is an abundant number, since it is smaller than the sum of its proper divisors (199301616).

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

101304144 is a wasteful number, since it uses less digits than its factorization.

101304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101304144 is about 10064.9959761542. The cubic root of 101304144 is about 466.1679415805.

Adding to 101304144 its reverse (441403101), we get a palindrome (542707245).

The spelling of 101304144 in words is "one hundred one million, three hundred four thousand, one hundred forty-four".