107768448 has 64 divisors (see below), whose sum is σ = 318076800. Its totient is φ = 35921664.

The previous prime is 107768443. The next prime is 107768471. The reversal of 107768448 is 844867701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×107768448² = 23228076768657408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107768443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12136 + ... + 19047.

It is an arithmetic number, because the mean of its divisors is an integer number (4969950).

Almost surely, 2^107768448 is an apocalyptic number.

107768448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107768448 is an abundant number, since it is smaller than the sum of its proper divisors (210308352).

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

107768448 is an equidigital number, since it uses as much as digits as its factorization.

107768448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31206 (or 31188 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 107768448 is about 10381.1583168739. The cubic root of 107768448 is about 475.8797332860.

The spelling of 107768448 in words is "one hundred seven million, seven hundred sixty-eight thousand, four hundred forty-eight".