107133959232 has 210 divisors, whose sum is σ = 325165013118. Its totient is φ = 34877703168.

The previous prime is 107133959209. The next prime is 107133959237. The reversal of 107133959232 is 232959331701.

107133959232 is a `hidden beast` number, since 10 + 7 + 13 + 3 + 9 + 592 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103673696256 + 3460262976 = 321984^2 + 58824^2 .

It is a super-2 number, since 2×107133959232² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107133959237) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9579628 + ... + 9590804.

Almost surely, 2^107133959232 is an apocalyptic number.

107133959232 is a gapful number since it is divisible by the number (12) 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 107133959232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162582506559).

107133959232 is an abundant number, since it is smaller than the sum of its proper divisors (218031053886).

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

107133959232 is an equidigital number, since it uses as much as digits as its factorization.

107133959232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11287 (or 11225 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 107133959232 in words is "one hundred seven billion, one hundred thirty-three million, nine hundred fifty-nine thousand, two hundred thirty-two".