107435040 has 48 divisors (see below), whose sum is σ = 338421888. Its totient is φ = 28649216.

The previous prime is 107435039. The next prime is 107435051. The reversal of 107435040 is 40534701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 107435040.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 111432 + ... + 112391.

It is an arithmetic number, because the mean of its divisors is an integer number (7050456).

Almost surely, 2^107435040 is an apocalyptic number.

107435040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107435040 is an abundant number, since it is smaller than the sum of its proper divisors (230986848).

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

107435040 is a wasteful number, since it uses less digits than its factorization.

107435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223841 (or 223833 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 107435040 is about 10365.0875538994. The cubic root of 107435040 is about 475.3884762906.

Adding to 107435040 its reverse (40534701), we get a palindrome (147969741).

The spelling of 107435040 in words is "one hundred seven million, four hundred thirty-five thousand, forty".