107745500160 has 308 divisors, whose sum is σ = 387530556168. Its totient is φ = 28731138048.

The previous prime is 107745500153. The next prime is 107745500237. The reversal of 107745500160 is 61005547701.

107745500160 is a `hidden beast` number, since 107 + 7 + 45 + 500 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3718047 + ... + 3746913.

Almost surely, 2^107745500160 is an apocalyptic number.

107745500160 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 107745500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193765278084).

107745500160 is an abundant number, since it is smaller than the sum of its proper divisors (279785056008).

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

107745500160 is an frugal number, since it uses more digits than its factorization.

107745500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28910 (or 28877 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 107745500160 in words is "one hundred seven billion, seven hundred forty-five million, five hundred thousand, one hundred sixty".