103063035312972 has 240 divisors, whose sum is σ = 309105960787008. Its totient is φ = 29333060789760.

The previous prime is 103063035312971. The next prime is 103063035313037. The reversal of 103063035312972 is 279213530360301.

103063035312972 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 6 + 3 + 0 + 353 + 1 + 297 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (103063035312971) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 646338838 + ... + 646498274.

Almost surely, 2^{103063035312972} is an apocalyptic number.

103063035312972 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 103063035312972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154552980393504).

103063035312972 is an abundant number, since it is smaller than the sum of its proper divisors (206042925474036).

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

103063035312972 is a wasteful number, since it uses less digits than its factorization.

103063035312972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160558 (or 160547 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 103063035312972 in words is "one hundred three trillion, sixty-three billion, thirty-five million, three hundred twelve thousand, nine hundred seventy-two".