103116582573480 has 288 divisors, whose sum is σ = 389892666688200. Its totient is φ = 23566551063552.

The previous prime is 103116582573449. The next prime is 103116582573491. The reversal of 103116582573480 is 84375285611301.

103116582573480 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 1 + 6 + 582 + 57 + 3 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34691558122116 + 68425024451364 = 5889954^2 + 8271942^2 .

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 71 ways as a sum of consecutive naturals, for example, 141974934 + ... + 142699386.

Almost surely, 2^{103116582573480} is an apocalyptic number.

103116582573480 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 103116582573480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194946333344100).

103116582573480 is an abundant number, since it is smaller than the sum of its proper divisors (286776084114720).

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

103116582573480 is a wasteful number, since it uses less digits than its factorization.

103116582573480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732553 (or 732539 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 103116582573480 in words is "one hundred three trillion, one hundred sixteen billion, five hundred eighty-two million, five hundred seventy-three thousand, four hundred eighty".