102144234042 has 96 divisors (see below), whose sum is σ = 243461013120. Its totient is φ = 30806455680.

The previous prime is 102144234037. The next prime is 102144234053. The reversal of 102144234042 is 240432441201.

102144234042 is a `hidden beast` number, since 1 + 0 + 214 + 42 + 3 + 404 + 2 = 666.

It is a super-3 number, since 3×102144234042³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102144233997 and 102144234015.

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 47 ways as a sum of consecutive naturals, for example, 5315692 + ... + 5334872.

It is an arithmetic number, because the mean of its divisors is an integer number (2536052220).

Almost surely, 2^102144234042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102144234042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121730506560).

102144234042 is an abundant number, since it is smaller than the sum of its proper divisors (141316779078).

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

102144234042 is a wasteful number, since it uses less digits than its factorization.

102144234042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19908 (or 19905 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 102144234042 its reverse (240432441201), we get a palindrome (342576675243).

The spelling of 102144234042 in words is "one hundred two billion, one hundred forty-four million, two hundred thirty-four thousand, forty-two".