102002016 has 24 divisors (see below), whose sum is σ = 267755544. Its totient is φ = 34000640.

The previous prime is 102002003. The next prime is 102002071. The reversal of 102002016 is 610200201.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×102002016² = 20808822536128512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102001992 and 102002010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 531165 + ... + 531356.

It is an arithmetic number, because the mean of its divisors is an integer number (11156481).

Almost surely, 2^102002016 is an apocalyptic number.

102002016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102002016 is an abundant number, since it is smaller than the sum of its proper divisors (165753528).

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

102002016 is a wasteful number, since it uses less digits than its factorization.

102002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062534 (or 1062526 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102002016 is about 10099.6047447413. The cubic root of 102002016 is about 467.2359510553.

Adding to 102002016 its reverse (610200201), we get a palindrome (712202217).

The spelling of 102002016 in words is "one hundred two million, two thousand, sixteen".