10005055605 has 40 divisors (see below), whose sum is σ = 18229049784. Its totient is φ = 5248540800.

The previous prime is 10005055603. The next prime is 10005055607. The reversal of 10005055605 is 50655050001.

10005055605 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 0 + 55 + 605 = 666.

It is an interprime number because it is at equal distance from previous prime (10005055603) and next prime (10005055607).

It can be written as a sum of positive squares in 4 ways, for example, as 1025408484 + 8979647121 = 32022^2 + 94761^2 .

It is not a de Polignac number, because 10005055605 - 2¹ = 10005055603 is a prime.

It is a super-2 number, since 2×10005055605² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005055601) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177786 + ... + 227195.

Almost surely, 2^10005055605 is an apocalyptic number.

10005055605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10005055605 is a deficient number, since it is larger than the sum of its proper divisors (8223994179).

10005055605 is an equidigital number, since it uses as much as digits as its factorization.

10005055605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405059 (or 405050 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 10005055605 in words is "ten billion, five million, fifty-five thousand, six hundred five".