103485663354240 has 192 divisors, whose sum is σ = 357382889089200. Its totient is φ = 27593554513920.

The previous prime is 103485663354167. The next prime is 103485663354251. The reversal of 103485663354240 is 42453366584301.

103485663354240 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 8 + 5 + 66 + 33 + 542 + 4 + 0 = 666.

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

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, 60144295 + ... + 61840985.

Almost surely, 2^{103485663354240} is an apocalyptic number.

103485663354240 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 103485663354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178691444544600).

103485663354240 is an abundant number, since it is smaller than the sum of its proper divisors (253897225734960).

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

103485663354240 is a wasteful number, since it uses less digits than its factorization.

103485663354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707305 (or 1707290 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 103485663354240 in words is "one hundred three trillion, four hundred eighty-five billion, six hundred sixty-three million, three hundred fifty-four thousand, two hundred forty".