102642016 has 24 divisors (see below), whose sum is σ = 205393104. Its totient is φ = 50478720.

The previous prime is 102641999. The next prime is 102642017. The reversal of 102642016 is 610246201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102642017) by changing a digit.

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, 24340 + ... + 28243.

It is an arithmetic number, because the mean of its divisors is an integer number (8558046).

Almost surely, 2^102642016 is an apocalyptic number.

102642016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102642016 is an abundant number, since it is smaller than the sum of its proper divisors (102751088).

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

102642016 is an equidigital number, since it uses as much as digits as its factorization.

102642016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52654 (or 52646 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 102642016 is about 10131.2396082612. The cubic root of 102642016 is about 468.2111205646.

Adding to 102642016 its reverse (610246201), we get a palindrome (712888217).

The spelling of 102642016 in words is "one hundred two million, six hundred forty-two thousand, sixteen".