106063667551104 has 256 divisors, whose sum is σ = 302496108076800. Its totient is φ = 32810503864320.

The previous prime is 106063667551103. The next prime is 106063667551123. The reversal of 106063667551104 is 401155766360601.

106063667551104 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106063667551104² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106063667551103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133866387 + ... + 134656365.

It is an arithmetic number, because the mean of its divisors is an integer number (1181625422175).

Almost surely, 2^{106063667551104} 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 106063667551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151248054038400).

106063667551104 is an abundant number, since it is smaller than the sum of its proper divisors (196432440525696).

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

106063667551104 is a wasteful number, since it uses less digits than its factorization.

106063667551104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790301 (or 790289 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 106063667551104 in words is "one hundred six trillion, sixty-three billion, six hundred sixty-seven million, five hundred fifty-one thousand, one hundred four".