107408448 has 168 divisors, whose sum is σ = 372782592. Its totient is φ = 28864512.

The previous prime is 107408393. The next prime is 107408473. The reversal of 107408448 is 844804701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67761 + ... + 69327.

It is an arithmetic number, because the mean of its divisors is an integer number (2218944).

Almost surely, 2^107408448 is an apocalyptic number.

107408448 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 107408448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186391296).

107408448 is an abundant number, since it is smaller than the sum of its proper divisors (265374144).

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

107408448 is a wasteful number, since it uses less digits than its factorization.

107408448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 107408448 is about 10363.8047067667. The cubic root of 107408448 is about 475.3492508091.

The spelling of 107408448 in words is "one hundred seven million, four hundred eight thousand, four hundred forty-eight".