102786924816 has 45 divisors (see below), whose sum is σ = 287671397221. Its totient is φ = 34261025856.

The previous prime is 102786924731. The next prime is 102786924829. The reversal of 102786924816 is 618429687201.

It is a happy number.

The square root of 102786924816 is 320604.

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

102786924816 is a `hidden beast` number, since 1 + 0 + 2 + 78 + 6 + 92 + 481 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20477610000 + 82309314816 = 143100^2 + 286896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3833890 + ... + 3860606.

Almost surely, 2^102786924816 is an apocalyptic number.

102786924816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102786924816 is the 320604-th square number.

It is an amenable number.

102786924816 is an abundant number, since it is smaller than the sum of its proper divisors (184884472405).

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

102786924816 is an frugal number, since it uses more digits than its factorization.

102786924816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53448 (or 26722 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 102786924816 in words is "one hundred two billion, seven hundred eighty-six million, nine hundred twenty-four thousand, eight hundred sixteen".