106216643126512 has 80 divisors (see below), whose sum is σ = 216259449134400. Its totient is φ = 50440618342400.

The previous prime is 106216643126497. The next prime is 106216643126543. The reversal of 106216643126512 is 215621346612601.

It is a super-2 number, since 2×106216643126512² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156535812 + ... + 157212892.

It is an arithmetic number, because the mean of its divisors is an integer number (2703243114180).

Almost surely, 2^{106216643126512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106216643126512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108129724567200).

106216643126512 is an abundant number, since it is smaller than the sum of its proper divisors (110042806007888).

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

106216643126512 is a wasteful number, since it uses less digits than its factorization.

106216643126512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680122 (or 680116 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 106216643126512 in words is "one hundred six trillion, two hundred sixteen billion, six hundred forty-three million, one hundred twenty-six thousand, five hundred twelve".