104996737024 has 117 divisors (see below), whose sum is σ = 216069234069. Its totient is φ = 51015598080.

The previous prime is 104996737003. The next prime is 104996737039. The reversal of 104996737024 is 420737699401.

The square root of 104996737024 is 324032.

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

It can be written as a sum of positive squares in only one way, i.e., 3414298624 + 101582438400 = 58432^2 + 318720^2 .

It is a super-2 number, since 2×104996737024² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1265020887 + ... + 1265020969.

Almost surely, 2^104996737024 is an apocalyptic number.

104996737024 is the 324032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104996737024

104996737024 is an abundant number, since it is smaller than the sum of its proper divisors (111072497045).

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

104996737024 is an frugal number, since it uses more digits than its factorization.

104996737024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 104996737024 in words is "one hundred four billion, nine hundred ninety-six million, seven hundred thirty-seven thousand, twenty-four".