103078646089664 has 112 divisors (see below), whose sum is σ = 256769952499200. Its totient is φ = 40031850710016.

The previous prime is 103078646089571. The next prime is 103078646089669. The reversal of 103078646089664 is 466980646870301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×103078646089664³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103078646089594 and 103078646089603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103078646089669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263060819 + ... + 263452370.

It is an arithmetic number, because the mean of its divisors is an integer number (2292588861600).

Almost surely, 2^{103078646089664} is an apocalyptic number.

103078646089664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103078646089664 is an abundant number, since it is smaller than the sum of its proper divisors (153691306409536).

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

103078646089664 is a wasteful number, since it uses less digits than its factorization.

103078646089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526513250 (or 526513240 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 68.

The spelling of 103078646089664 in words is "one hundred three trillion, seventy-eight billion, six hundred forty-six million, eighty-nine thousand, six hundred sixty-four".