107808165840 has 80 divisors (see below), whose sum is σ = 345729657600. Its totient is φ = 27757502976.

The previous prime is 107808165827. The next prime is 107808165847. The reversal of 107808165840 is 48561808701.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 107808165840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107808165847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7737880 + ... + 7751799.

It is an arithmetic number, because the mean of its divisors is an integer number (4321620720).

Almost surely, 2^107808165840 is an apocalyptic number.

107808165840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107808165840 is an abundant number, since it is smaller than the sum of its proper divisors (237921491760).

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

107808165840 is a wasteful number, since it uses less digits than its factorization.

107808165840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15489724 (or 15489718 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 107808165840 in words is "one hundred seven billion, eight hundred eight million, one hundred sixty-five thousand, eight hundred forty".