105880352 has 54 divisors (see below), whose sum is σ = 223523937. Its totient is φ = 49360384.

The previous prime is 105880351. The next prime is 105880367. The reversal of 105880352 is 253088501.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 96904336 + 8976016 = 9844^2 + 2996^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7276.

It is a super-2 number, since 2×105880352² = 22421297879287808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105880351) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 989483 + ... + 989589.

Almost surely, 2^105880352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105880352

105880352 is an abundant number, since it is smaller than the sum of its proper divisors (117643585).

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

105880352 is an equidigital number, since it uses as much as digits as its factorization.

105880352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 105880352 is about 10289.8178798266. The cubic root of 105880352 is about 473.0842163738.

Multiplying 105880352 by its sum of digits (32), we get a square (3388171264 = 58208²).

105880352 divided by its sum of digits (32) gives a square (3308761 = 1819²).

The spelling of 105880352 in words is "one hundred five million, eight hundred eighty thousand, three hundred fifty-two".