1034085105 has 24 divisors (see below), whose sum is σ = 1796288832. Its totient is φ = 550319904.

The previous prime is 1034085029. The next prime is 1034085137. The reversal of 1034085105 is 5015804301.

1034085105 is a `hidden beast` number, since 103 + 40 + 8 + 510 + 5 = 666.

It is not a de Polignac number, because 1034085105 - 2¹⁹ = 1033560817 is a prime.

It is a super-3 number, since 3×1034085105³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 3589 + ... + 45618.

It is an arithmetic number, because the mean of its divisors is an integer number (74845368).

Almost surely, 2^1034085105 is an apocalyptic number.

1034085105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1034085105 is a deficient number, since it is larger than the sum of its proper divisors (762203727).

1034085105 is a wasteful number, since it uses less digits than its factorization.

1034085105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49685 (or 49682 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1034085105 is about 32157.1936741999. The cubic root of 1034085105 is about 1011.2350036458.

Adding to 1034085105 its reverse (5015804301), we get a palindrome (6049889406).

The spelling of 1034085105 in words is "one billion, thirty-four million, eighty-five thousand, one hundred five".