103444122132032 has 112 divisors (see below), whose sum is σ = 231774773025600. Its totient is φ = 45375170856960.

The previous prime is 103444122132007. The next prime is 103444122132047. The reversal of 103444122132032 is 230231221444301.

It is a happy number.

It is a super-3 number, since 3×103444122132032³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 103444122132032.

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 15 ways as a sum of consecutive naturals, for example, 38153519 + ... + 40774737.

It is an arithmetic number, because the mean of its divisors is an integer number (2069417616300).

Almost surely, 2^{103444122132032} 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 103444122132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115887386512800).

103444122132032 is an abundant number, since it is smaller than the sum of its proper divisors (128330650893568).

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

103444122132032 is a wasteful number, since it uses less digits than its factorization.

103444122132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623204 (or 2623194 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 103444122132032 its reverse (230231221444301), we get a palindrome (333675343576333).

The spelling of 103444122132032 in words is "one hundred three trillion, four hundred forty-four billion, one hundred twenty-two million, one hundred thirty-two thousand, thirty-two".