107434440 has 96 divisors (see below), whose sum is σ = 351449280. Its totient is φ = 28461696.

The previous prime is 107434429. The next prime is 107434447. The reversal of 107434440 is 44434701.

It is a super-2 number, since 2×107434440² = 23084317796227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107434447) 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 23 ways as a sum of consecutive naturals, for example, 59227 + ... + 61013.

It is an arithmetic number, because the mean of its divisors is an integer number (3660930).

Almost surely, 2^107434440 is an apocalyptic number.

107434440 is a gapful number since it is divisible by the number (10) 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 107434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175724640).

107434440 is an abundant number, since it is smaller than the sum of its proper divisors (244014840).

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

107434440 is a wasteful number, since it uses less digits than its factorization.

107434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 107434440 is about 10365.0586105434. The cubic root of 107434440 is about 475.3875913105.

The spelling of 107434440 in words is "one hundred seven million, four hundred thirty-four thousand, four hundred forty".