102210016 has 24 divisors (see below), whose sum is σ = 201522384. Its totient is φ = 51029760.

The previous prime is 102209941. The next prime is 102210019. The reversal of 102210016 is 610012201.

It is a junction number, because it is equal to n+sod(n) for n = 102209978 and 102210005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24396 + ... + 28276.

It is an arithmetic number, because the mean of its divisors is an integer number (8396766).

Almost surely, 2^102210016 is an apocalyptic number.

102210016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102210016 is a deficient number, since it is larger than the sum of its proper divisors (99312368).

102210016 is an equidigital number, since it uses as much as digits as its factorization.

102210016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 102210016 is about 10109.8969332036. The cubic root of 102210016 is about 467.5533274407.

Adding to 102210016 its reverse (610012201), we get a palindrome (712222217).

The spelling of 102210016 in words is "one hundred two million, two hundred ten thousand, sixteen".