107460128 has 48 divisors (see below), whose sum is σ = 225185184. Its totient is φ = 50304000.

The previous prime is 107460121. The next prime is 107460253. The reversal of 107460128 is 821064701.

It is a self number, because there is not a number n which added to its sum of digits gives 107460128.

It is not an unprimeable number, because it can be changed into a prime (107460121) 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, 136151 + ... + 136937.

It is an arithmetic number, because the mean of its divisors is an integer number (4691358).

Almost surely, 2^107460128 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 107460128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112592592).

107460128 is an abundant number, since it is smaller than the sum of its proper divisors (117725056).

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

107460128 is a wasteful number, since it uses less digits than its factorization.

107460128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 107460128 is about 10366.2976997576. The cubic root of 107460128 is about 475.4254773095.

The spelling of 107460128 in words is "one hundred seven million, four hundred sixty thousand, one hundred twenty-eight".