103275072415584 has 576 divisors, whose sum is σ = 324590931624960. Its totient is φ = 31001792532480.

The previous prime is 103275072415577. The next prime is 103275072415637. The reversal of 103275072415584 is 485514270572301.

103275072415584 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 7 + 50 + 7 + 2 + 4 + 1 + 5 + 584 = 666.

It is a super-2 number, since 2×103275072415584² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103275072415584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29281277629 + ... + 29281281155.

It is an arithmetic number, because the mean of its divisors is an integer number (563525922960).

Almost surely, 2^{103275072415584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103275072415584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162295465812480).

103275072415584 is an abundant number, since it is smaller than the sum of its proper divisors (221315859209376).

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

103275072415584 is a wasteful number, since it uses less digits than its factorization.

103275072415584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 103275072415584 in words is "one hundred three trillion, two hundred seventy-five billion, seventy-two million, four hundred fifteen thousand, five hundred eighty-four".