106231087872 has 720 divisors, whose sum is σ = 410518268160. Its totient is φ = 26533453824.

The previous prime is 106231087847. The next prime is 106231087889. The reversal of 106231087872 is 278780132601.

106231087872 is a `hidden beast` number, since 1 + 0 + 623 + 10 + 8 + 7 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×106231087872² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35851063 + ... + 35854025.

Almost surely, 2^106231087872 is an apocalyptic number.

106231087872 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 106231087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205259134080).

106231087872 is an abundant number, since it is smaller than the sum of its proper divisors (304287180288).

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

106231087872 is a wasteful number, since it uses less digits than its factorization.

106231087872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 106231087872 in words is "one hundred six billion, two hundred thirty-one million, eighty-seven thousand, eight hundred seventy-two".