104987664324 has 135 divisors (see below), whose sum is σ = 281156365567. Its totient is φ = 34161865776.

The previous prime is 104987664293. The next prime is 104987664349. The reversal of 104987664324 is 423466789401.

The square root of 104987664324 is 324018.

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

104987664324 is a `hidden beast` number, since 1 + 0 + 498 + 76 + 64 + 3 + 24 = 666.

It is a super-2 number, since 2×104987664324² (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 274119037 + ... + 274119419.

Almost surely, 2^104987664324 is an apocalyptic number.

104987664324 is the 324018-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104987664324

104987664324 is an abundant number, since it is smaller than the sum of its proper divisors (176168701243).

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

104987664324 is an frugal number, since it uses more digits than its factorization.

104987664324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 104987664324 in words is "one hundred four billion, nine hundred eighty-seven million, six hundred sixty-four thousand, three hundred twenty-four".