102710112 has 96 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 32567808.

The previous prime is 102710089. The next prime is 102710119. The reversal of 102710112 is 211017201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 102710091 and 102710100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102710119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219703 + ... + 220169.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^102710112 is an apocalyptic number.

102710112 is a gapful number since it is divisible by the number (12) 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 102710112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

102710112 is an abundant number, since it is smaller than the sum of its proper divisors (180336288).

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

102710112 is a wasteful number, since it uses less digits than its factorization.

102710112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 102710112 is about 10134.5997454266. The cubic root of 102710112 is about 468.3146397585.

Adding to 102710112 its reverse (211017201), we get a palindrome (313727313).

The spelling of 102710112 in words is "one hundred two million, seven hundred ten thousand, one hundred twelve".