107117440 has 128 divisors (see below), whose sum is σ = 282009600. Its totient is φ = 38725632.

The previous prime is 107117411. The next prime is 107117449. The reversal of 107117440 is 44711701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×107117440² = 22948291904307200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107117449) 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, 279489 + ... + 279871.

It is an arithmetic number, because the mean of its divisors is an integer number (2203200).

Almost surely, 2^107117440 is an apocalyptic number.

107117440 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 107117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141004800).

107117440 is an abundant number, since it is smaller than the sum of its proper divisors (174892160).

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

107117440 is a wasteful number, since it uses less digits than its factorization.

107117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 107117440 is about 10349.7555526689. The cubic root of 107117440 is about 474.9195653276.

The spelling of 107117440 in words is "one hundred seven million, one hundred seventeen thousand, four hundred forty".