103424114332000 has 384 divisors, whose sum is σ = 319953159751680. Its totient is φ = 31916908800000.

The previous prime is 103424114331997. The next prime is 103424114332081. The reversal of 103424114332000 is 233411424301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 103424114332000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29445661 + ... + 32770339.

It is an arithmetic number, because the mean of its divisors is an integer number (833211353520).

Almost surely, 2^{103424114332000} is an apocalyptic number.

103424114332000 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 103424114332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159976579875840).

103424114332000 is an abundant number, since it is smaller than the sum of its proper divisors (216529045419680).

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

103424114332000 is a wasteful number, since it uses less digits than its factorization.

103424114332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324823 (or 3324805 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 103424114332000 its reverse (233411424301), we get a palindrome (103657525756301).

The spelling of 103424114332000 in words is "one hundred three trillion, four hundred twenty-four billion, one hundred fourteen million, three hundred thirty-two thousand".