10102016 has 18 divisors (see below), whose sum is σ = 20165082. Its totient is φ = 5050880.

The previous prime is 10102009. The next prime is 10102019. The reversal of 10102016 is 61020101.

It can be written as a sum of positive squares in only one way, i.e., 7840000 + 2262016 = 2800^2 + 1504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10101988 and 10102006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19475 + ... + 19986.

Almost surely, 2^10102016 is an apocalyptic number.

10102016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10102016 is a deficient number, since it is larger than the sum of its proper divisors (10063066).

10102016 is an frugal number, since it uses more digits than its factorization.

10102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39477 (or 39463 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 10102016 is about 3178.3668762432. The cubic root of 10102016 is about 216.1736144174.

Adding to 10102016 its reverse (61020101), we get a palindrome (71122117).

The spelling of 10102016 in words is "ten million, one hundred two thousand, sixteen".