106660641060 has 72 divisors (see below), whose sum is σ = 334693752120. Its totient is φ = 27462048768.

The previous prime is 106660641013. The next prime is 106660641187. The reversal of 106660641060 is 60146066601.

It can be written as a sum of positive squares in 4 ways, for example, as 2836201536 + 103824439524 = 53256^2 + 322218^2 .

It is a super-2 number, since 2×106660641060² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10211317 + ... + 10221756.

It is an arithmetic number, because the mean of its divisors is an integer number (4648524335).

Almost surely, 2^106660641060 is an apocalyptic number.

106660641060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106660641060 is an abundant number, since it is smaller than the sum of its proper divisors (228033111060).

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

106660641060 is a wasteful number, since it uses less digits than its factorization.

106660641060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20433117 (or 20433112 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 106660641060 in words is "one hundred six billion, six hundred sixty million, six hundred forty-one thousand, sixty".