104528969571481 has 81 divisors (see below), whose sum is σ = 132468449149341. Its totient is φ = 82204411633344.

The previous prime is 104528969571469. The next prime is 104528969571497. The reversal of 104528969571481 is 184175969825401.

It is a happy number.

The square root of 104528969571481 is 10223941.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4843921193881 + 99685048377600 = 2200891^2 + 9984240^2 .

It is not a de Polignac number, because 104528969571481 - 2¹³ = 104528969563289 is a prime.

It is a super-2 number, since 2×104528969571481² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 104528969571481.

It is not an unprimeable number, because it can be changed into a prime (104528969572481) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 263297152375 + ... + 263297152771.

It is an arithmetic number, because the mean of its divisors is an integer number (1635412952461).

Almost surely, 2^{104528969571481} is an apocalyptic number.

104528969571481 is the 10223941-st square number.

104528969571481 is the 5111971-st centered octagonal number.

It is an amenable number.

104528969571481 is a deficient number, since it is larger than the sum of its proper divisors (27939479577860).

104528969571481 is an frugal number, since it uses more digits than its factorization.

104528969571481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 70.

The spelling of 104528969571481 in words is "one hundred four trillion, five hundred twenty-eight billion, nine hundred sixty-nine million, five hundred seventy-one thousand, four hundred eighty-one".