102016 has 16 divisors (see below), whose sum is σ = 203490. Its totient is φ = 50944.

The previous prime is 102013. The next prime is 102019. The reversal of 102016 is 610201.

It is an interprime number because it is at equal distance from previous prime (102013) and next prime (102019).

It can be written as a sum of positive squares in only one way, i.e., 87616 + 14400 = 296^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 101993 and 102011.

It is not an unprimeable number, because it can be changed into a prime (102013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 271 + ... + 526.

2¹⁰²⁰¹⁶ is an apocalyptic number.

102016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102016 is a deficient number, since it is larger than the sum of its proper divisors (101474).

102016 is an frugal number, since it uses more digits than its factorization.

102016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 799 counting only the distinct ones).

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

The square root of 102016 is about 319.3994364428. The cubic root of 102016 is about 46.7257302035.

Adding to 102016 its reverse (610201), we get a palindrome (712217).

The spelling of 102016 in words is "one hundred two thousand, sixteen".