102226320 has 160 divisors (see below), whose sum is σ = 402474240. Its totient is φ = 23362560.

The previous prime is 102226307. The next prime is 102226361. The reversal of 102226320 is 23622201.

102226320 is a `hidden beast` number, since 10 + 2 + 22 + 632 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102226293 and 102226302.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11740 + ... + 18500.

It is an arithmetic number, because the mean of its divisors is an integer number (2515464).

Almost surely, 2^102226320 is an apocalyptic number.

102226320 is a gapful number since it is divisible by the number (10) 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 102226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201237120).

102226320 is an abundant number, since it is smaller than the sum of its proper divisors (300247920).

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

102226320 is a wasteful number, since it uses less digits than its factorization.

102226320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102226320 is about 10110.7032396367. The cubic root of 102226320 is about 467.5781866618.

Adding to 102226320 its reverse (23622201), we get a palindrome (125848521).

The spelling of 102226320 in words is "one hundred two million, two hundred twenty-six thousand, three hundred twenty".