1085716905 has 64 divisors (see below), whose sum is σ = 2250608640. Its totient is φ = 434025216.

The previous prime is 1085716903. The next prime is 1085716913. The reversal of 1085716905 is 5096175801.

It is not a de Polignac number, because 1085716905 - 2¹ = 1085716903 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1085716901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5004 + ... + 46866.

It is an arithmetic number, because the mean of its divisors is an integer number (35165760).

Almost surely, 2^1085716905 is an apocalyptic number.

1085716905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1085716905 is an abundant number, since it is smaller than the sum of its proper divisors (1164891735).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1085716905 is a wasteful number, since it uses less digits than its factorization.

1085716905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41910.

The product of its (nonzero) digits is 75600, while the sum is 42.

The square root of 1085716905 is about 32950.2185880458. The cubic root of 1085716905 is about 1027.7927108703.

The spelling of 1085716905 in words is "one billion, eighty-five million, seven hundred sixteen thousand, nine hundred five".