104731972370496 has 567 divisors, whose sum is σ = 331497680104279. Its totient is φ = 32821721137152.

The previous prime is 104731972370491. The next prime is 104731972370503. The reversal of 104731972370496 is 694073279137401.

The square root of 104731972370496 is 10233864.

It is a perfect power (a square), and thus also a powerful number.

104731972370496 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 3 + 1 + 9 + 72 + 3 + 70 + 496 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12358037160000 + 92373935210496 = 3515400^2 + 9611136^2 .

It is a super-2 number, since 2×104731972370496² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104731972370491) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 112736245360 + ... + 112736246288.

Almost surely, 2^{104731972370496} is an apocalyptic number.

104731972370496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104731972370496 is the 10233864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104731972370496

104731972370496 is an abundant number, since it is smaller than the sum of its proper divisors (226765707733783).

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

104731972370496 is an frugal number, since it uses more digits than its factorization.

104731972370496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 104731972370496 in words is "one hundred four trillion, seven hundred thirty-one billion, nine hundred seventy-two million, three hundred seventy thousand, four hundred ninety-six".