102216851 has 16 divisors (see below), whose sum is σ = 117331200. Its totient is φ = 88183200.

The previous prime is 102216833. The next prime is 102216887. The reversal of 102216851 is 158612201.

102216851 = 2145² + 2146² + ... + 2166².

It is not a de Polignac number, because 102216851 - 2⁶ = 102216787 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102216851.

It is not an unprimeable number, because it can be changed into a prime (102216251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16106 + ... + 21536.

It is an arithmetic number, because the mean of its divisors is an integer number (7333200).

Almost surely, 2^102216851 is an apocalyptic number.

102216851 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102216851 is a deficient number, since it is larger than the sum of its proper divisors (15114349).

102216851 is a wasteful number, since it uses less digits than its factorization.

102216851 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530.

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 102216851 is about 10110.2349626505. The cubic root of 102216851 is about 467.5637493018.

The spelling of 102216851 in words is "one hundred two million, two hundred sixteen thousand, eight hundred fifty-one".