106463320173616 has 160 divisors (see below), whose sum is σ = 246306675363840. Its totient is φ = 43613996203008.

The previous prime is 106463320173607. The next prime is 106463320173689. The reversal of 106463320173616 is 616371023364601.

It is a super-3 number, since 3×106463320173616³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106463320173616.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544491166 + ... + 544686658.

It is an arithmetic number, because the mean of its divisors is an integer number (1539416721024).

Almost surely, 2^{106463320173616} is an apocalyptic number.

106463320173616 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 106463320173616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123153337681920).

106463320173616 is an abundant number, since it is smaller than the sum of its proper divisors (139843355190224).

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

106463320173616 is a wasteful number, since it uses less digits than its factorization.

106463320173616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197211 (or 197205 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 49.

The spelling of 106463320173616 in words is "one hundred six trillion, four hundred sixty-three billion, three hundred twenty million, one hundred seventy-three thousand, six hundred sixteen".