102787328 has 72 divisors (see below), whose sum is σ = 240374400. Its totient is φ = 42946560.

The previous prime is 102787309. The next prime is 102787343. The reversal of 102787328 is 823787201.

It is a super-3 number, since 3×102787328³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102787291 and 102787300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72773 + ... + 74171.

Almost surely, 2^102787328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102787328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120187200).

102787328 is an abundant number, since it is smaller than the sum of its proper divisors (137587072).

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

102787328 is an equidigital number, since it uses as much as digits as its factorization.

102787328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 102787328 is about 10138.4085536143. The cubic root of 102787328 is about 468.4319677880.

The spelling of 102787328 in words is "one hundred two million, seven hundred eighty-seven thousand, three hundred twenty-eight".