106060605672 has 64 divisors (see below), whose sum is σ = 311220328320. Its totient is φ = 29484027648.

The previous prime is 106060605671. The next prime is 106060605683. The reversal of 106060605672 is 276506060601.

It is a super-2 number, since 2×106060605672² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106060605672.

It is not an unprimeable number, because it can be changed into a prime (106060605671) 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 15 ways as a sum of consecutive naturals, for example, 8525043 + ... + 8537474.

It is an arithmetic number, because the mean of its divisors is an integer number (4862817630).

Almost surely, 2^106060605672 is an apocalyptic number.

106060605672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106060605672 is an abundant number, since it is smaller than the sum of its proper divisors (205159722648).

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

106060605672 is a wasteful number, since it uses less digits than its factorization.

106060605672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17062570 (or 17062566 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 106060605672 in words is "one hundred six billion, sixty million, six hundred five thousand, six hundred seventy-two".