103132120032 has 72 divisors (see below), whose sum is σ = 310533861456. Its totient is φ = 32355173376.

The previous prime is 103132120027. The next prime is 103132120067. The reversal of 103132120032 is 230021231301.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103132119987 and 103132120014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10527388 + ... + 10537179.

It is an arithmetic number, because the mean of its divisors is an integer number (4312970298).

Almost surely, 2^103132120032 is an apocalyptic number.

103132120032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103132120032 is an abundant number, since it is smaller than the sum of its proper divisors (207401741424).

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

103132120032 is a wasteful number, since it uses less digits than its factorization.

103132120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21064600 (or 21064589 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103132120032 its reverse (230021231301), we get a palindrome (333153351333).

The spelling of 103132120032 in words is "one hundred three billion, one hundred thirty-two million, one hundred twenty thousand, thirty-two".