102003728592 has 80 divisors (see below), whose sum is σ = 267930797760. Its totient is φ = 33431193600.

The previous prime is 102003728551. The next prime is 102003728597. The reversal of 102003728592 is 295827300201.

It is a self number, because there is not a number n which added to its sum of digits gives 102003728592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003728597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10708792 + ... + 10718312.

It is an arithmetic number, because the mean of its divisors is an integer number (3349134972).

Almost surely, 2^102003728592 is an apocalyptic number.

102003728592 is a gapful number since it is divisible by the number (12) 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 102003728592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133965398880).

102003728592 is an abundant number, since it is smaller than the sum of its proper divisors (165927069168).

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

102003728592 is a wasteful number, since it uses less digits than its factorization.

102003728592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13252 (or 13246 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 102003728592 in words is "one hundred two billion, three million, seven hundred twenty-eight thousand, five hundred ninety-two".