106120550546010 has 768 divisors, whose sum is σ = 383248350471168. Its totient is φ = 19660017254400.

The previous prime is 106120550545991. The next prime is 106120550546189. The reversal of 106120550546010 is 10645055021601.

106120550546010 is a `hidden beast` number, since 1 + 0 + 61 + 2 + 0 + 5 + 50 + 546 + 0 + 1 + 0 = 666.

It is a super-3 number, since 3×106120550546010³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 456550020 + ... + 456782400.

It is an arithmetic number, because the mean of its divisors is an integer number (499021289676).

Almost surely, 2^{106120550546010} is an apocalyptic number.

106120550546010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106120550546010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191624175235584).

106120550546010 is an abundant number, since it is smaller than the sum of its proper divisors (277127799925158).

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

106120550546010 is a wasteful number, since it uses less digits than its factorization.

106120550546010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232599 (or 232596 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 106120550546010 in words is "one hundred six trillion, one hundred twenty billion, five hundred fifty million, five hundred forty-six thousand, ten".