103435454240000 has 180 divisors, whose sum is σ = 264001033576896. Its totient is φ = 40411988736000.

The previous prime is 103435454239973. The next prime is 103435454240009. The reversal of 103435454240000 is 42454534301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103435454240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 637112 + ... + 14397111.

Almost surely, 2^{103435454240000} is an apocalyptic number.

103435454240000 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 103435454240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132000516788448).

103435454240000 is an abundant number, since it is smaller than the sum of its proper divisors (160565579336896).

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

103435454240000 is an frugal number, since it uses more digits than its factorization.

103435454240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15034302 (or 15034273 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 103435454240000 in words is "one hundred three trillion, four hundred thirty-five billion, four hundred fifty-four million, two hundred forty thousand".