102779648 has 36 divisors (see below), whose sum is σ = 207322920. Its totient is φ = 50847744.

The previous prime is 102779639. The next prime is 102779669. The reversal of 102779648 is 846977201.

It is a junction number, because it is equal to n+sod(n) for n = 102779599 and 102779608.

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 3 ways as a sum of consecutive naturals, for example, 22763 + ... + 26901.

It is an arithmetic number, because the mean of its divisors is an integer number (5758970).

Almost surely, 2^102779648 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 102779648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103661460).

102779648 is an abundant number, since it is smaller than the sum of its proper divisors (104543272).

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

102779648 is an frugal number, since it uses more digits than its factorization.

102779648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 102779648 is about 10138.0297888692. The cubic root of 102779648 is about 468.4203008274.

The spelling of 102779648 in words is "one hundred two million, seven hundred seventy-nine thousand, six hundred forty-eight".