107454240 has 144 divisors (see below), whose sum is σ = 372206016. Its totient is φ = 28224000.

The previous prime is 107454211. The next prime is 107454247. The reversal of 107454240 is 42454701.

107454240 is a `hidden beast` number, since 10 + 74 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×107454240³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107454247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101715 + ... + 102765.

It is an arithmetic number, because the mean of its divisors is an integer number (2584764).

Almost surely, 2^107454240 is an apocalyptic number.

107454240 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 107454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186103008).

107454240 is an abundant number, since it is smaller than the sum of its proper divisors (264751776).

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

107454240 is a wasteful number, since it uses less digits than its factorization.

107454240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 107454240 is about 10366.0136986211. The cubic root of 107454240 is about 475.4167939141.

The spelling of 107454240 in words is "one hundred seven million, four hundred fifty-four thousand, two hundred forty".