106431921216 has 420 divisors, whose sum is σ = 352881641200. Its totient is φ = 31624556544.

The previous prime is 106431921161. The next prime is 106431921247. The reversal of 106431921216 is 612129134601.

It is a happy number.

106431921216 is a `hidden beast` number, since 1 + 0 + 6 + 431 + 9 + 2 + 1 + 216 = 666.

It is a super-2 number, since 2×106431921216² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28463475 + ... + 28467213.

Almost surely, 2^106431921216 is an apocalyptic number.

106431921216 is a gapful number since it is divisible by the number (16) 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 106431921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176440820600).

106431921216 is an abundant number, since it is smaller than the sum of its proper divisors (246449719984).

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

106431921216 is a wasteful number, since it uses less digits than its factorization.

106431921216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 106431921216 in words is "one hundred six billion, four hundred thirty-one million, nine hundred twenty-one thousand, two hundred sixteen".