106272051168 has 48 divisors (see below), whose sum is σ = 285768148176. Its totient is φ = 34560015360.

The previous prime is 106272051167. The next prime is 106272051187. The reversal of 106272051168 is 861150272601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106272051168² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106272051167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13496071 + ... + 13503942.

It is an arithmetic number, because the mean of its divisors is an integer number (5953503087).

Almost surely, 2^106272051168 is an apocalyptic number.

It is an amenable number.

106272051168 is an abundant number, since it is smaller than the sum of its proper divisors (179496097008).

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

106272051168 is a wasteful number, since it uses less digits than its factorization.

106272051168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27000067 (or 27000059 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 106272051168 in words is "one hundred six billion, two hundred seventy-two million, fifty-one thousand, one hundred sixty-eight".