103967426304 has 432 divisors, whose sum is σ = 348393357312. Its totient is φ = 29206904832.

The previous prime is 103967426293. The next prime is 103967426327. The reversal of 103967426304 is 403624769301.

103967426304 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 6 + 7 + 4 + 2 + 630 + 4 = 666.

It is a super-2 number, since 2×103967426304² (a number of 23 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 103967426304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395313277 + ... + 395313539.

Almost surely, 2^103967426304 is an apocalyptic number.

103967426304 is a gapful number since it is divisible by the number (14) 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 103967426304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174196678656).

103967426304 is an abundant number, since it is smaller than the sum of its proper divisors (244425931008).

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

103967426304 is a wasteful number, since it uses less digits than its factorization.

103967426304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 103967426304 in words is "one hundred three billion, nine hundred sixty-seven million, four hundred twenty-six thousand, three hundred four".