10005555 has 24 divisors (see below), whose sum is σ = 18623952. Its totient is φ = 4573632.

The previous prime is 10005539. The next prime is 10005559. The reversal of 10005555 is 55550001.

It is not a de Polignac number, because 10005555 - 2⁴ = 10005539 is a prime.

It is a super-2 number, since 2×10005555² = 200222261716050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

10005555 is a modest number, since divided by 5555 gives 1000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10005559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6072 + ... + 7541.

It is an arithmetic number, because the mean of its divisors is an integer number (775998).

Almost surely, 2^10005555 is an apocalyptic number.

10005555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10005555 is a deficient number, since it is larger than the sum of its proper divisors (8618397).

10005555 is a wasteful number, since it uses less digits than its factorization.

10005555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13635 (or 13628 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 21.

The square root of 10005555 is about 3163.1558608453. The cubic root of 10005555 is about 215.4833545676.

Adding to 10005555 its reverse (55550001), we get a palindrome (65555556).

It can be divided in two parts, 1000 and 5555, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 10005555 in words is "ten million, five thousand, five hundred fifty-five".