103442312000000 has 140 divisors (see below), whose sum is σ = 258349948351770. Its totient is φ = 41376921600000.

The previous prime is 103442311999979. The next prime is 103442312000003. The reversal of 103442312000000 is 213244301.

It can be written as a sum of positive squares in 7 ways, for example, as 47281796382976 + 56160515617024 = 6876176^2 + 7494032^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (103442312000003) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 1534856 + ... + 14465144.

Almost surely, 2^{103442312000000} is an apocalyptic number.

103442312000000 is a gapful number since it is divisible by the number (10) 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 103442312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129174974175885).

103442312000000 is an abundant number, since it is smaller than the sum of its proper divisors (154907636351770).

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

103442312000000 is an frugal number, since it uses more digits than its factorization.

103442312000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12930337 (or 12930296 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103442312000000 its reverse (213244301), we get a palindrome (103442525244301).

The spelling of 103442312000000 in words is "one hundred three trillion, four hundred forty-two billion, three hundred twelve million", and thus it is an aban number.