102075039744 has 96 divisors (see below), whose sum is σ = 272463335340. Its totient is φ = 33991622656.

The previous prime is 102075039701. The next prime is 102075039749. The reversal of 102075039744 is 447930570201.

102075039744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 102075039696 and 102075039705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102075039749) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 100171267 + ... + 100172285.

Almost surely, 2^102075039744 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 102075039744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136231667670).

102075039744 is an abundant number, since it is smaller than the sum of its proper divisors (170388295596).

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

102075039744 is an frugal number, since it uses more digits than its factorization.

102075039744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 102075039744 in words is "one hundred two billion, seventy-five million, thirty-nine thousand, seven hundred forty-four".