107478340 has 48 divisors (see below), whose sum is σ = 235703664. Its totient is φ = 41126400.

The previous prime is 107478323. The next prime is 107478341. The reversal of 107478340 is 43874701.

It can be written as a sum of positive squares in 8 ways, for example, as 26873856 + 80604484 = 5184^2 + 8978^2 .

It is a junction number, because it is equal to n+sod(n) for n = 107478296 and 107478305.

It is not an unprimeable number, because it can be changed into a prime (107478341) 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, 43950 + ... + 46330.

It is an arithmetic number, because the mean of its divisors is an integer number (4910493).

Almost surely, 2^107478340 is an apocalyptic number.

107478340 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 107478340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117851832).

107478340 is an abundant number, since it is smaller than the sum of its proper divisors (128225324).

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

107478340 is a wasteful number, since it uses less digits than its factorization.

107478340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 107478340 is about 10367.1760860902. The cubic root of 107478340 is about 475.4523336573.

The spelling of 107478340 in words is "one hundred seven million, four hundred seventy-eight thousand, three hundred forty".