102168312 has 64 divisors (see below), whose sum is σ = 268738560. Its totient is φ = 32323200.

The previous prime is 102168307. The next prime is 102168373. The reversal of 102168312 is 213861201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38137 + ... + 40727.

It is an arithmetic number, because the mean of its divisors is an integer number (4199040).

Almost surely, 2^102168312 is an apocalyptic number.

102168312 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 102168312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134369280).

102168312 is an abundant number, since it is smaller than the sum of its proper divisors (166570248).

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

102168312 is a wasteful number, since it uses less digits than its factorization.

102168312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 102168312 is about 10107.8341893800. The cubic root of 102168312 is about 467.4897280098.

It can be divided in two parts, 10216 and 8312, that added together give a triangular number (18528 = T₁₉₂).

The spelling of 102168312 in words is "one hundred two million, one hundred sixty-eight thousand, three hundred twelve".