104102010144 has 144 divisors (see below), whose sum is σ = 323458349760. Its totient is φ = 31496686080.

The previous prime is 104102010083. The next prime is 104102010149. The reversal of 104102010144 is 441010201401.

104102010144 is a `hidden beast` number, since 10 + 410 + 201 + 0 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (104102010149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2024302 + ... + 2075090.

It is an arithmetic number, because the mean of its divisors is an integer number (2246238540).

Almost surely, 2^104102010144 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 104102010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161729174880).

104102010144 is an abundant number, since it is smaller than the sum of its proper divisors (219356339616).

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

104102010144 is a wasteful number, since it uses less digits than its factorization.

104102010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51463 (or 51452 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 104102010144 its reverse (441010201401), we get a palindrome (545112211545).

The spelling of 104102010144 in words is "one hundred four billion, one hundred two million, ten thousand, one hundred forty-four".