106181512772 has 6 divisors (see below), whose sum is σ = 185817647358. Its totient is φ = 53090756384.

The previous prime is 106181512739. The next prime is 106181512777. The reversal of 106181512772 is 277215181601.

106181512772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 98035367236 + 8146145536 = 313106^2 + 90256^2 .

It is a super-2 number, since 2×106181512772² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106181512777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13272689093 + ... + 13272689100.

It is an arithmetic number, because the mean of its divisors is an integer number (30969607893).

Almost surely, 2^106181512772 is an apocalyptic number.

It is an amenable number.

106181512772 is a deficient number, since it is larger than the sum of its proper divisors (79636134586).

106181512772 is a wasteful number, since it uses less digits than its factorization.

106181512772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26545378197 (or 26545378195 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 41.

The spelling of 106181512772 in words is "one hundred six billion, one hundred eighty-one million, five hundred twelve thousand, seven hundred seventy-two".