102171664 has 75 divisors (see below), whose sum is σ = 243070287. Its totient is φ = 41483232.

The previous prime is 102171659. The next prime is 102171673. The reversal of 102171664 is 466171201.

The square root of 102171664 is 10108.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5377447 + ... + 5377465.

Almost surely, 2^102171664 is an apocalyptic number.

102171664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102171664 is the 10108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102171664

102171664 is an abundant number, since it is smaller than the sum of its proper divisors (140898623).

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

102171664 is an frugal number, since it uses more digits than its factorization.

102171664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The cubic root of 102171664 is about 467.4948405161.

It can be divided in two parts, 10217 and 1664, that added together give a square (11881 = 109²).

The spelling of 102171664 in words is "one hundred two million, one hundred seventy-one thousand, six hundred sixty-four".