4088166100 has 36 divisors (see below), whose sum is σ = 8874111708. Its totient is φ = 1634752000.

The previous prime is 4088166097. The next prime is 4088166127. The reversal of 4088166100 is 16618804.

It can be written as a sum of positive squares in 6 ways, for example, as 803042244 + 3285123856 = 28338^2 + 57316^2 .

It is a super-2 number, since 2×4088166100² = 33426204122378420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570540 + ... + 577660.

It is an arithmetic number, because the mean of its divisors is an integer number (246503103).

Almost surely, 2^4088166100 is an apocalyptic number.

It is an amenable number.

4088166100 is an abundant number, since it is smaller than the sum of its proper divisors (4785945608).

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

4088166100 is a wasteful number, since it uses less digits than its factorization.

4088166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12876 (or 12869 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 4088166100 is about 63938.7683647410. The cubic root of 4088166100 is about 1598.9793099458.

The spelling of 4088166100 in words is "four billion, eighty-eight million, one hundred sixty-six thousand, one hundred".