105502320 has 360 divisors, whose sum is σ = 447658848. Its totient is φ = 21795840.

The previous prime is 105502297. The next prime is 105502339. The reversal of 105502320 is 23205501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×105502320² = 22261479050764800, which contains 22 as substring.

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 = 105502293 and 105502302.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 609754 + ... + 609926.

Almost surely, 2^105502320 is an apocalyptic number.

105502320 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 105502320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223829424).

105502320 is an abundant number, since it is smaller than the sum of its proper divisors (342156528).

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

105502320 is a wasteful number, since it uses less digits than its factorization.

105502320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105502320 is about 10271.4322272992. The cubic root of 105502320 is about 472.5205164519.

Adding to 105502320 its reverse (23205501), we get a palindrome (128707821).

The spelling of 105502320 in words is "one hundred five million, five hundred two thousand, three hundred twenty".