102768896 has 36 divisors (see below), whose sum is σ = 208530924. Its totient is φ = 50534400.

The previous prime is 102768877. The next prime is 102768947. The reversal of 102768896 is 698867201.

It can be written as a sum of positive squares in 2 ways, for example, as 11833600 + 90935296 = 3440^2 + 9536^2 .

It is a super-2 number, since 2×102768896² = 21122891970117632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102768896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12326 + ... + 18906.

Almost surely, 2^102768896 is an apocalyptic number.

102768896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104265462).

102768896 is an abundant number, since it is smaller than the sum of its proper divisors (105762028).

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

102768896 is an frugal number, since it uses more digits than its factorization.

102768896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6658 (or 6644 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 102768896 is about 10137.4994944513. The cubic root of 102768896 is about 468.4039661061.

The spelling of 102768896 in words is "one hundred two million, seven hundred sixty-eight thousand, eight hundred ninety-six".