106580448 has 120 divisors (see below), whose sum is σ = 337668408. Its totient is φ = 32783616.

The previous prime is 106580447. The next prime is 106580473. The reversal of 106580448 is 844085601.

It is a super-2 number, since 2×106580448² = 22718783791761408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106580447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32115 + ... + 35277.

Almost surely, 2^106580448 is an apocalyptic number.

106580448 is a gapful number since it is divisible by the number (18) 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 106580448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168834204).

106580448 is an abundant number, since it is smaller than the sum of its proper divisors (231087960).

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

106580448 is a wasteful number, since it uses less digits than its factorization.

106580448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 106580448 is about 10323.7807028239. The cubic root of 106580448 is about 474.1246267393.

The spelling of 106580448 in words is "one hundred six million, five hundred eighty thousand, four hundred forty-eight".