100010660 has 24 divisors (see below), whose sum is σ = 222377400. Its totient is φ = 37650944.

The previous prime is 100010633. The next prime is 100010663. The reversal of 100010660 is 66010001.

It can be written as a sum of positive squares in 4 ways, for example, as 649636 + 99361024 = 806^2 + 9968^2 .

It is a super-2 number, since 2×100010660² = 20004264227271200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100010663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146735 + ... + 147414.

It is an arithmetic number, because the mean of its divisors is an integer number (9265725).

Almost surely, 2^100010660 is an apocalyptic number.

100010660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010660 is an abundant number, since it is smaller than the sum of its proper divisors (122366740).

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

100010660 is a wasteful number, since it uses less digits than its factorization.

100010660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294175 (or 294173 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 100010660 is about 10000.5329857963. The cubic root of 100010660 is about 464.1753758876.

Adding to 100010660 its reverse (66010001), we get a palindrome (166020661).

The spelling of 100010660 in words is "one hundred million, ten thousand, six hundred sixty".