102201984 has 96 divisors (see below), whose sum is σ = 298084800. Its totient is φ = 33606144.

The previous prime is 102201973. The next prime is 102201991. The reversal of 102201984 is 489102201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90447 + ... + 91569.

It is an arithmetic number, because the mean of its divisors is an integer number (3105050).

Almost surely, 2^102201984 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 102201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149042400).

102201984 is an abundant number, since it is smaller than the sum of its proper divisors (195882816).

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

102201984 is a wasteful number, since it uses less digits than its factorization.

102201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 102201984 is about 10109.4996908848. The cubic root of 102201984 is about 467.5410798260.

The spelling of 102201984 in words is "one hundred two million, two hundred one thousand, nine hundred eighty-four".