102103100032 has 64 divisors (see below), whose sum is σ = 206857787040. Its totient is φ = 50186787840.

The previous prime is 102103100023. The next prime is 102103100051. The reversal of 102103100032 is 230001301201.

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

It is a super-2 number, since 2×102103100032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102103099985 and 102103100021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26131423 + ... + 26135329.

Almost surely, 2^102103100032 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 102103100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103428893520).

102103100032 is an abundant number, since it is smaller than the sum of its proper divisors (104754687008).

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

102103100032 is an equidigital number, since it uses as much as digits as its factorization.

102103100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7329 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 102103100032 its reverse (230001301201), we get a palindrome (332104401233).

The spelling of 102103100032 in words is "one hundred two billion, one hundred three million, one hundred thousand, thirty-two".