100140660 has 72 divisors (see below), whose sum is σ = 304635240. Its totient is φ = 26627328.

The previous prime is 100140653. The next prime is 100140671. The reversal of 100140660 is 66041001.

100140660 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 0 + 660 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53846244 + 46294416 = 7338^2 + 6804^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 91074 + ... + 92166.

It is an arithmetic number, because the mean of its divisors is an integer number (4231045).

Almost surely, 2^100140660 is an apocalyptic number.

100140660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100140660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152317620).

100140660 is an abundant number, since it is smaller than the sum of its proper divisors (204494580).

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

100140660 is a wasteful number, since it uses less digits than its factorization.

100140660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100140660 is about 10007.0305285834. The cubic root of 100140660 is about 464.3764100306.

Adding to 100140660 its reverse (66041001), we get a palindrome (166181661).

The spelling of 100140660 in words is "one hundred million, one hundred forty thousand, six hundred sixty".