102000016 has 20 divisors (see below), whose sum is σ = 198722524. Its totient is φ = 50716800.

The previous prime is 101999969. The next prime is 102000023. The reversal of 102000016 is 610000201.

It can be written as a sum of positive squares in 2 ways, for example, as 42771600 + 59228416 = 6540^2 + 7696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101999966 and 102000011.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14715 + ... + 20506.

Almost surely, 2^102000016 is an apocalyptic number.

102000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102000016 is a deficient number, since it is larger than the sum of its proper divisors (96722508).

102000016 is a wasteful number, since it uses less digits than its factorization.

102000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35410 (or 35404 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 102000016 is about 10099.5057304801. The cubic root of 102000016 is about 467.2328972660.

Adding to 102000016 its reverse (610000201), we get a palindrome (712000217).

The spelling of 102000016 in words is "one hundred two million, sixteen", and thus it is an aban number.