10005055067 has 8 divisors (see below), whose sum is σ = 12106957536. Its totient is φ = 8071304832.

The previous prime is 10005055031. The next prime is 10005055069. The reversal of 10005055067 is 76055050001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10005055067 - 2⁸ = 10005054811 is a prime.

It is a super-2 number, since 2×10005055067² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005055069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42037928 + ... + 42038165.

It is an arithmetic number, because the mean of its divisors is an integer number (1513369692).

Almost surely, 2^10005055067 is an apocalyptic number.

10005055067 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10005055067 is a deficient number, since it is larger than the sum of its proper divisors (2101902469).

10005055067 is an equidigital number, since it uses as much as digits as its factorization.

10005055067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84076117.

The product of its (nonzero) digits is 5250, while the sum is 29.

The spelling of 10005055067 in words is "ten billion, five million, fifty-five thousand, sixty-seven".