1085706105 has 64 divisors (see below), whose sum is σ = 2029536000. Its totient is φ = 489758720.

The previous prime is 1085706101. The next prime is 1085706107. The reversal of 1085706105 is 5016075801.

1085706105 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1085706105 - 2² = 1085706101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1085706101) 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, 247471 + ... + 251819.

It is an arithmetic number, because the mean of its divisors is an integer number (31711500).

Almost surely, 2^1085706105 is an apocalyptic number.

1085706105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1085706105 is a deficient number, since it is larger than the sum of its proper divisors (943829895).

1085706105 is a wasteful number, since it uses less digits than its factorization.

1085706105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474.

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 1085706105 is about 32950.0547040517. The cubic root of 1085706105 is about 1027.7893029230.

The spelling of 1085706105 in words is "one billion, eighty-five million, seven hundred six thousand, one hundred five".