102112768 has 60 divisors (see below), whose sum is σ = 210877128. Its totient is φ = 49387520.

The previous prime is 102112763. The next prime is 102112771. The reversal of 102112768 is 867211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1438173 + ... + 1438243.

Almost surely, 2^102112768 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 102112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105438564).

102112768 is an abundant number, since it is smaller than the sum of its proper divisors (108764360).

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

102112768 is an frugal number, since it uses more digits than its factorization.

102112768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 102112768 is about 10105.0862440654. The cubic root of 102112768 is about 467.4049954220.

Adding to 102112768 its reverse (867211201), we get a palindrome (969323969).

The spelling of 102112768 in words is "one hundred two million, one hundred twelve thousand, seven hundred sixty-eight".