102027168 has 96 divisors (see below), whose sum is σ = 299376000. Its totient is φ = 33804288.

The previous prime is 102027113. The next prime is 102027181. The reversal of 102027168 is 861720201.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 227008 + ... + 227456.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2^102027168 is an apocalyptic number.

102027168 is a gapful number since it is divisible by the number (18) 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 102027168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149688000).

102027168 is an abundant number, since it is smaller than the sum of its proper divisors (197348832).

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

102027168 is a wasteful number, since it uses less digits than its factorization.

102027168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 102027168 is about 10100.8498652341. The cubic root of 102027168 is about 467.2743521030.

Adding to 102027168 its reverse (861720201), we get a palindrome (963747369).

The spelling of 102027168 in words is "one hundred two million, twenty-seven thousand, one hundred sixty-eight".