103132042112 has 128 divisors (see below), whose sum is σ = 230056675200. Its totient is φ = 45646755840.

The previous prime is 103132042063. The next prime is 103132042129. The reversal of 103132042112 is 211240231301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×103132042112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21006314 + ... + 21011222.

It is an arithmetic number, because the mean of its divisors is an integer number (1797317775).

Almost surely, 2^103132042112 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 103132042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115028337600).

103132042112 is an abundant number, since it is smaller than the sum of its proper divisors (126924633088).

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

103132042112 is a wasteful number, since it uses less digits than its factorization.

103132042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5312 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 103132042112 its reverse (211240231301), we get a palindrome (314372273413).

The spelling of 103132042112 in words is "one hundred three billion, one hundred thirty-two million, forty-two thousand, one hundred twelve".