103597078464 has 448 divisors, whose sum is σ = 353034478080. Its totient is φ = 29441802240.

The previous prime is 103597078463. The next prime is 103597078477. The reversal of 103597078464 is 464870795301.

103597078464 is a `hidden beast` number, since 1 + 0 + 3 + 597 + 0 + 7 + 8 + 46 + 4 = 666.

It is a super-3 number, since 3×103597078464³ (a number of 34 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103597078464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103597078463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168999822 + ... + 169000434.

Almost surely, 2^103597078464 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 103597078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176517239040).

103597078464 is an abundant number, since it is smaller than the sum of its proper divisors (249437399616).

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

103597078464 is a wasteful number, since it uses less digits than its factorization.

103597078464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 103597078464 in words is "one hundred three billion, five hundred ninety-seven million, seventy-eight thousand, four hundred sixty-four".