102171968 has 56 divisors (see below), whose sum is σ = 216529920. Its totient is φ = 47692800.

The previous prime is 102171961. The next prime is 102171977. The reversal of 102171968 is 869171201.

It is a super-2 number, since 2×102171968² = 20878222089986048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102171961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88193 + ... + 89343.

Almost surely, 2^102171968 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 102171968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108264960).

102171968 is an abundant number, since it is smaller than the sum of its proper divisors (114357952).

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

102171968 is a wasteful number, since it uses less digits than its factorization.

102171968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 35.

The square root of 102171968 is about 10108.0150375828. The cubic root of 102171968 is about 467.4953041747.

The spelling of 102171968 in words is "one hundred two million, one hundred seventy-one thousand, nine hundred sixty-eight".