102221406 has 128 divisors (see below), whose sum is σ = 280473600. Its totient is φ = 26943840.

The previous prime is 102221401. The next prime is 102221429. The reversal of 102221406 is 604122201.

It is a super-4 number, since 4×102221406⁴ (a number of 33 digits) contains 4444 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308661 + ... + 308991.

It is an arithmetic number, because the mean of its divisors is an integer number (2191200).

Almost surely, 2^102221406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102221406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140236800).

102221406 is an abundant number, since it is smaller than the sum of its proper divisors (178252194).

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

102221406 is a wasteful number, since it uses less digits than its factorization.

102221406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102221406 is about 10110.4602269135. The cubic root of 102221406 is about 467.5706944099.

Adding to 102221406 its reverse (604122201), we get a palindrome (706343607).

It can be divided in two parts, 10222 and 1406, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 102221406 in words is "one hundred two million, two hundred twenty-one thousand, four hundred six".