103315807485072 has 400 divisors, whose sum is σ = 368100191802112. Its totient is φ = 27243069189120.

The previous prime is 103315807484999. The next prime is 103315807485113. The reversal of 103315807485072 is 270584708513301.

103315807485072 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 580 + 7 + 4 + 8 + 50 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 658122333 + ... + 658279299.

Almost surely, 2^{103315807485072} is an apocalyptic number.

103315807485072 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 103315807485072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184050095901056).

103315807485072 is an abundant number, since it is smaller than the sum of its proper divisors (264784384317040).

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

103315807485072 is a wasteful number, since it uses less digits than its factorization.

103315807485072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162588 (or 162573 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 103315807485072 in words is "one hundred three trillion, three hundred fifteen billion, eight hundred seven million, four hundred eighty-five thousand, seventy-two".