4277640105 has 32 divisors (see below), whose sum is σ = 7608088320. Its totient is φ = 2280389760.

The previous prime is 4277640083. The next prime is 4277640127. The reversal of 4277640105 is 5010467724.

4277640105 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 640 + 1 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (4277640083) and next prime (4277640127).

It is not a de Polignac number, because 4277640105 - 2²² = 4273445801 is a prime.

It is a super-2 number, since 2×4277640105² = 36596409735808822050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4277640105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371109 + ... + 382461.

It is an arithmetic number, because the mean of its divisors is an integer number (237752760).

Almost surely, 2^4277640105 is an apocalyptic number.

4277640105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4277640105 is a deficient number, since it is larger than the sum of its proper divisors (3330448215).

4277640105 is a wasteful number, since it uses less digits than its factorization.

4277640105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14158 (or 14152 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4277640105 is about 65403.6704245259. The cubic root of 4277640105 is about 1623.3098140626.

The spelling of 4277640105 in words is "four billion, two hundred seventy-seven million, six hundred forty thousand, one hundred five".