102144433104 has 200 divisors, whose sum is σ = 339897495168. Its totient is φ = 29008938240.

The previous prime is 102144433091. The next prime is 102144433123. The reversal of 102144433104 is 401334441201.

102144433104 is a `hidden beast` number, since 1 + 0 + 214 + 4 + 433 + 10 + 4 = 666.

102144433104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1481314 + ... + 1548734.

Almost surely, 2^102144433104 is an apocalyptic number.

102144433104 is a gapful number since it is divisible by the number (14) 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 102144433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169948747584).

102144433104 is an abundant number, since it is smaller than the sum of its proper divisors (237753062064).

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

102144433104 is a wasteful number, since it uses less digits than its factorization.

102144433104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67615 (or 67600 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102144433104 its reverse (401334441201), we get a palindrome (503478874305).

The spelling of 102144433104 in words is "one hundred two billion, one hundred forty-four million, four hundred thirty-three thousand, one hundred four".