1005726105 has 64 divisors (see below), whose sum is σ = 1849478400. Its totient is φ = 518192640.

The previous prime is 1005726091. The next prime is 1005726121. The reversal of 1005726105 is 5016275001.

It is not a de Polignac number, because 1005726105 - 2⁴ = 1005726089 is a prime.

It is a super-2 number, since 2×1005726105² = 2022969996556942050, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 602482 + ... + 604148.

It is an arithmetic number, because the mean of its divisors is an integer number (28898100).

Almost surely, 2^1005726105 is an apocalyptic number.

1005726105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005726105 is a deficient number, since it is larger than the sum of its proper divisors (843752295).

1005726105 is a wasteful number, since it uses less digits than its factorization.

1005726105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1005726105 is about 31713.1850339886. The cubic root of 1005726105 is about 1001.9050700700.

The spelling of 1005726105 in words is "one billion, five million, seven hundred twenty-six thousand, one hundred five".