102000103032 has 32 divisors (see below), whose sum is σ = 258072554880. Its totient is φ = 33590394720.

The previous prime is 102000103019. The next prime is 102000103087. The reversal of 102000103032 is 230301000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102000102999 and 102000103017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25600444 + ... + 25604427.

It is an arithmetic number, because the mean of its divisors is an integer number (8064767340).

Almost surely, 2^102000103032 is an apocalyptic number.

102000103032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102000103032 is an abundant number, since it is smaller than the sum of its proper divisors (156072451848).

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

102000103032 is a wasteful number, since it uses less digits than its factorization.

102000103032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51204963 (or 51204959 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102000103032 its reverse (230301000201), we get a palindrome (332301103233).

The spelling of 102000103032 in words is "one hundred two billion, one hundred three thousand, thirty-two".