107303132160 has 1408 divisors, whose sum is σ = 465340416000. Its totient is φ = 23410114560.

The previous prime is 107303132137. The next prime is 107303132213. The reversal of 107303132160 is 61231303701.

107303132160 is a `hidden beast` number, since 107 + 30 + 313 + 216 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1469905884 + ... + 1469905956.

Almost surely, 2^107303132160 is an apocalyptic number.

107303132160 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 107303132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232670208000).

107303132160 is an abundant number, since it is smaller than the sum of its proper divisors (358037283840).

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

107303132160 is an equidigital number, since it uses as much as digits as its factorization.

107303132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 107303132160 its reverse (61231303701), we get a palindrome (168534435861).

The spelling of 107303132160 in words is "one hundred seven billion, three hundred three million, one hundred thirty-two thousand, one hundred sixty".