103441044431232 has 192 divisors, whose sum is σ = 300007526785200. Its totient is φ = 34208982761472.

The previous prime is 103441044431203. The next prime is 103441044431261. The reversal of 103441044431232 is 232134440144301.

103441044431232 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 410 + 4 + 4 + 4 + 3 + 1 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (103441044431203) and next prime (103441044431261).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×103441044431232² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275530944 + ... + 275906112.

Almost surely, 2^{103441044431232} is an apocalyptic number.

103441044431232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103441044431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150003763392600).

103441044431232 is an abundant number, since it is smaller than the sum of its proper divisors (196566482353968).

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

103441044431232 is a wasteful number, since it uses less digits than its factorization.

103441044431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377073 (or 377058 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 103441044431232 its reverse (232134440144301), we get a palindrome (335575484575533).

The spelling of 103441044431232 in words is "one hundred three trillion, four hundred forty-one billion, forty-four million, four hundred thirty-one thousand, two hundred thirty-two".