106591871232 has 864 divisors, whose sum is σ = 404799123456. Its totient is φ = 26155008000.

The previous prime is 106591871213. The next prime is 106591871233. The reversal of 106591871232 is 232178195601.

106591871232 is a `hidden beast` number, since 10 + 6 + 591 + 8 + 7 + 12 + 32 = 666.

It is a super-2 number, since 2×106591871232² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106591871233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 616137898 + ... + 616138070.

It is an arithmetic number, because the mean of its divisors is an integer number (468517504).

Almost surely, 2^106591871232 is an apocalyptic number.

106591871232 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 106591871232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202399561728).

106591871232 is an abundant number, since it is smaller than the sum of its proper divisors (298207252224).

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

106591871232 is a wasteful number, since it uses less digits than its factorization.

106591871232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 106591871232 in words is "one hundred six billion, five hundred ninety-one million, eight hundred seventy-one thousand, two hundred thirty-two".