102014033024 has 64 divisors (see below), whose sum is σ = 215259690240. Its totient is φ = 47990132736.

The previous prime is 102014033003. The next prime is 102014033047. The reversal of 102014033024 is 420330410201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 102014032987 and 102014033005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8312717 + ... + 8324979.

It is an arithmetic number, because the mean of its divisors is an integer number (3363432660).

Almost surely, 2^102014033024 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 102014033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107629845120).

102014033024 is an abundant number, since it is smaller than the sum of its proper divisors (113245657216).

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

102014033024 is a wasteful number, since it uses less digits than its factorization.

102014033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16117 (or 16105 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102014033024 its reverse (420330410201), we get a palindrome (522344443225).

The spelling of 102014033024 in words is "one hundred two billion, fourteen million, thirty-three thousand, twenty-four".