107424672 has 48 divisors (see below), whose sum is σ = 291094272. Its totient is φ = 34652160.

The previous prime is 107424619. The next prime is 107424673. The reversal of 107424672 is 276424701.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (107424673) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15073 + ... + 21024.

It is an arithmetic number, because the mean of its divisors is an integer number (6064464).

Almost surely, 2^107424672 is an apocalyptic number.

107424672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107424672 is an abundant number, since it is smaller than the sum of its proper divisors (183669600).

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

107424672 is a wasteful number, since it uses less digits than its factorization.

107424672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36141 (or 36133 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 107424672 is about 10364.5874013392. The cubic root of 107424672 is about 475.3731833710.

The spelling of 107424672 in words is "one hundred seven million, four hundred twenty-four thousand, six hundred seventy-two".