107315040 has 288 divisors, whose sum is σ = 416828160. Its totient is φ = 22671360.

The previous prime is 107315027. The next prime is 107315071. The reversal of 107315040 is 40513701.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 107314998 and 107315016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2617420 + ... + 2617460.

It is an arithmetic number, because the mean of its divisors is an integer number (1447320).

Almost surely, 2^107315040 is an apocalyptic number.

107315040 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 107315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208414080).

107315040 is an abundant number, since it is smaller than the sum of its proper divisors (309513120).

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

107315040 is a wasteful number, since it uses less digits than its factorization.

107315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 107315040 is about 10359.2972734641. The cubic root of 107315040 is about 475.2114146608.

Adding to 107315040 its reverse (40513701), we get a palindrome (147828741).

The spelling of 107315040 in words is "one hundred seven million, three hundred fifteen thousand, forty".