100006660 has 24 divisors (see below), whose sum is σ = 226169496. Its totient is φ = 36925440.

The previous prime is 100006639. The next prime is 100006661. The reversal of 100006660 is 66600001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 99960004 = 216^2 + 9998^2 .

100006660 is a modest number, since divided by 6660 gives 100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100006661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192061 + ... + 192580.

It is an arithmetic number, because the mean of its divisors is an integer number (9423729).

Almost surely, 2^100006660 is an apocalyptic number.

100006660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100006660 is an abundant number, since it is smaller than the sum of its proper divisors (126162836).

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

100006660 is a wasteful number, since it uses less digits than its factorization.

100006660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384663 (or 384661 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 100006660 is about 10000.3329944557. The cubic root of 100006660 is about 464.1691874597.

Adding to 100006660 its reverse (66600001), we get a palindrome (166606661).

The spelling of 100006660 in words is "one hundred million, six thousand, six hundred sixty".