102206016 has 224 divisors, whose sum is σ = 346252800. Its totient is φ = 29237760.

The previous prime is 102206009. The next prime is 102206033. The reversal of 102206016 is 610602201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 102206016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361011 + ... + 361293.

Almost surely, 2^102206016 is an apocalyptic number.

102206016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102206016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173126400).

102206016 is an abundant number, since it is smaller than the sum of its proper divisors (244046784).

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

102206016 is a wasteful number, since it uses less digits than its factorization.

102206016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102206016 is about 10109.6991053147. The cubic root of 102206016 is about 467.5472281112.

Adding to 102206016 its reverse (610602201), we get a palindrome (712808217).

The spelling of 102206016 in words is "one hundred two million, two hundred six thousand, sixteen".