106946448 has 80 divisors (see below), whose sum is σ = 320265216. Its totient is φ = 30119040.

The previous prime is 106946443. The next prime is 106946449. The reversal of 106946448 is 844649601.

It is a super-2 number, since 2×106946448² = 22875085479633408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106946443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21615 + ... + 26097.

Almost surely, 2^106946448 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 106946448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160132608).

106946448 is an abundant number, since it is smaller than the sum of its proper divisors (213318768).

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

106946448 is a wasteful number, since it uses less digits than its factorization.

106946448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 106946448 is about 10341.4915752033. The cubic root of 106946448 is about 474.6667254064. Note that the first 3 decimals are identical.

The spelling of 106946448 in words is "one hundred six million, nine hundred forty-six thousand, four hundred forty-eight".