102103432140032 has 72 divisors (see below), whose sum is σ = 204890294280000. Its totient is φ = 50780764311552.

The previous prime is 102103432140013. The next prime is 102103432140067. The reversal of 102103432140032 is 230041234301201.

It is a super-2 number, since 2×102103432140032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102103432139983 and 102103432140010.

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, 180415844 + ... + 180980892.

Almost surely, 2^{102103432140032} 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 102103432140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102445147140000).

102103432140032 is an abundant number, since it is smaller than the sum of its proper divisors (102786862139968).

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

102103432140032 is an equidigital number, since it uses as much as digits as its factorization.

102103432140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568811 (or 568797 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 102103432140032 its reverse (230041234301201), we get a palindrome (332144666441233).

The spelling of 102103432140032 in words is "one hundred two trillion, one hundred three billion, four hundred thirty-two million, one hundred forty thousand, thirty-two".