641640100 has 36 divisors (see below), whose sum is σ = 1395918468. Its totient is φ = 256000000.

The previous prime is 641640091. The next prime is 641640107. The reversal of 641640100 is 1046146.

641640100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 94828644 + 546811456 = 9738^2 + 23384^2 .

It is not an unprimeable number, because it can be changed into a prime (641640107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32100 + ... + 48100.

It is an arithmetic number, because the mean of its divisors is an integer number (38775513).

Almost surely, 2^641640100 is an apocalyptic number.

It is an amenable number.

641640100 is an abundant number, since it is smaller than the sum of its proper divisors (754278368).

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

641640100 is a wasteful number, since it uses less digits than its factorization.

641640100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16416 (or 16409 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 641640100 is about 25330.6158630224. The cubic root of 641640100 is about 862.5093914821.

Adding to 641640100 its reverse (1046146), we get a palindrome (642686246).

It can be divided in two parts, 6416 and 40100, that multiplied together give a square (257281600 = 16040²).

The spelling of 641640100 in words is "six hundred forty-one million, six hundred forty thousand, one hundred".