102416 has 20 divisors (see below), whose sum is σ = 204972. Its totient is φ = 49536.

The previous prime is 102409. The next prime is 102433. The reversal of 102416 is 614201.

102416 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 10000 = 304^2 + 100^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 102416.

It is an unprimeable number.

102416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 506 + ... + 678.

2¹⁰²⁴¹⁶ is an apocalyptic number.

102416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102416 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

102416 is a wasteful number, since it uses less digits than its factorization.

102416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 102416 is about 320.0249990235. The cubic root of 102416 is about 46.7867203660.

Adding to 102416 its reverse (614201), we get a palindrome (716617).

It can be divided in two parts, 1024 and 16, that multiplied together give a 14-th power (16384 = 2¹⁴).

The spelling of 102416 in words is "one hundred two thousand, four hundred sixteen".