106106303440772 has 24 divisors (see below), whose sum is σ = 185836313771136. Its totient is φ = 53010215976608.

The previous prime is 106106303440771. The next prime is 106106303440793. The reversal of 106106303440772 is 277044303601601.

It is a happy number.

It is a super-2 number, since 2×106106303440772² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106106303440771) 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 in 7 ways as a sum of consecutive naturals, for example, 210417413 + ... + 210921075.

It is an arithmetic number, because the mean of its divisors is an integer number (7743179740464).

Almost surely, 2^{106106303440772} is an apocalyptic number.

It is an amenable number.

106106303440772 is a deficient number, since it is larger than the sum of its proper divisors (79730010330364).

106106303440772 is a wasteful number, since it uses less digits than its factorization.

106106303440772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546187 (or 546185 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 106106303440772 in words is "one hundred six trillion, one hundred six billion, three hundred three million, four hundred forty thousand, seven hundred seventy-two".