101066660 has 24 divisors (see below), whose sum is σ = 214345656. Its totient is φ = 40025600.

The previous prime is 101066657. The next prime is 101066663. The reversal of 101066660 is 66660101.

It is an interprime number because it is at equal distance from previous prime (101066657) and next prime (101066663).

It can be written as a sum of positive squares in 4 ways, for example, as 9634816 + 91431844 = 3104^2 + 9562^2 .

It is not an unprimeable number, because it can be changed into a prime (101066663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22997 + ... + 27036.

It is an arithmetic number, because the mean of its divisors is an integer number (8931069).

Almost surely, 2^101066660 is an apocalyptic number.

101066660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101066660 is an abundant number, since it is smaller than the sum of its proper divisors (113278996).

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

101066660 is a wasteful number, since it uses less digits than its factorization.

101066660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50143 (or 50141 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 101066660 is about 10053.1915330406. The cubic root of 101066660 is about 465.8033824579.

The spelling of 101066660 in words is "one hundred one million, sixty-six thousand, six hundred sixty".