1085117130 has 48 divisors (see below), whose sum is σ = 2897564904. Its totient is φ = 281543040.

The previous prime is 1085117081. The next prime is 1085117141. The reversal of 1085117130 is 317115801.

1085117130 is a `hidden beast` number, since 10 + 8 + 511 + 7 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1073807361 + 11309769 = 32769^2 + 3363^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1085117094 and 1085117103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159601 + ... + 166260.

Almost surely, 2^1085117130 is an apocalyptic number.

1085117130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1085117130 is an abundant number, since it is smaller than the sum of its proper divisors (1812447774).

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

1085117130 is a wasteful number, since it uses less digits than its factorization.

1085117130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325911 (or 325908 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The square root of 1085117130 is about 32941.1161013102. The cubic root of 1085117130 is about 1027.6034172285.

The spelling of 1085117130 in words is "one billion, eighty-five million, one hundred seventeen thousand, one hundred thirty".