107948448 has 144 divisors (see below), whose sum is σ = 322672896. Its totient is φ = 34191360.

The previous prime is 107948437. The next prime is 107948461. The reversal of 107948448 is 844849701.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 955240 + ... + 955352.

It is an arithmetic number, because the mean of its divisors is an integer number (2240784).

Almost surely, 2^107948448 is an apocalyptic number.

107948448 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 107948448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161336448).

107948448 is an abundant number, since it is smaller than the sum of its proper divisors (214724448).

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

107948448 is a wasteful number, since it uses less digits than its factorization.

107948448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 107948448 is about 10389.8242526041. The cubic root of 107948448 is about 476.1445315876.

The spelling of 107948448 in words is "one hundred seven million, nine hundred forty-eight thousand, four hundred forty-eight".