107468240 has 80 divisors (see below), whose sum is σ = 275607360. Its totient is φ = 38645760.

The previous prime is 107468209. The next prime is 107468261. The reversal of 107468240 is 42864701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 107468197 and 107468206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84731 + ... + 85989.

It is an arithmetic number, because the mean of its divisors is an integer number (3445092).

Almost surely, 2^107468240 is an apocalyptic number.

107468240 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 107468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

107468240 is an abundant number, since it is smaller than the sum of its proper divisors (168139120).

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

107468240 is a wasteful number, since it uses less digits than its factorization.

107468240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 107468240 is about 10366.6889603190. The cubic root of 107468240 is about 475.4374400549.

The spelling of 107468240 in words is "one hundred seven million, four hundred sixty-eight thousand, two hundred forty".