107440128 has 192 divisors, whose sum is σ = 334152000. Its totient is φ = 34062336.

The previous prime is 107440127. The next prime is 107440133. The reversal of 107440128 is 821044701.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×107440128² = 23086762209312768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107440127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603551 + ... + 1603617.

It is an arithmetic number, because the mean of its divisors is an integer number (1740375).

Almost surely, 2^107440128 is an apocalyptic number.

107440128 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 107440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076000).

107440128 is an abundant number, since it is smaller than the sum of its proper divisors (226711872).

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

107440128 is an equidigital number, since it uses as much as digits as its factorization.

107440128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 107440128 is about 10365.3329903096. The cubic root of 107440128 is about 475.3959807893.

Adding to 107440128 its reverse (821044701), we get a palindrome (928484829).

The spelling of 107440128 in words is "one hundred seven million, four hundred forty thousand, one hundred twenty-eight".