107735040 has 288 divisors, whose sum is σ = 429287040. Its totient is φ = 24477696.

The previous prime is 107735011. The next prime is 107735041. The reversal of 107735040 is 40537701.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 107734995 and 107735013.

It is not an unprimeable number, because it can be changed into a prime (107735041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645037 + ... + 645203.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 2^107735040 is an apocalyptic number.

107735040 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 107735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

107735040 is an abundant number, since it is smaller than the sum of its proper divisors (321552000).

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

107735040 is a wasteful number, since it uses less digits than its factorization.

107735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 107735040 is about 10379.5491231556. The cubic root of 107735040 is about 475.8305542869.

The spelling of 107735040 in words is "one hundred seven million, seven hundred thirty-five thousand, forty".