4105668100 has 36 divisors (see below), whose sum is σ = 8912919988. Its totient is φ = 1641600000.

The previous prime is 4105668089. The next prime is 4105668103. The reversal of 4105668100 is 18665014.

It can be written as a sum of positive squares in 6 ways, for example, as 81288256 + 4024379844 = 9016^2 + 63438^2 .

It is a super-2 number, since 2×4105668100² = 33713021094715220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4105668103) 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, 293260 + ... + 306940.

Almost surely, 2^4105668100 is an apocalyptic number.

It is an amenable number.

4105668100 is an abundant number, since it is smaller than the sum of its proper divisors (4807251888).

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

4105668100 is a wasteful number, since it uses less digits than its factorization.

4105668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16696 (or 16689 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 4105668100 is about 64075.4875127767. The cubic root of 4105668100 is about 1601.2578780177.

The spelling of 4105668100 in words is "four billion, one hundred five million, six hundred sixty-eight thousand, one hundred".