1085102120 has 32 divisors (see below), whose sum is σ = 2442522600. Its totient is φ = 433855488.

The previous prime is 1085102093. The next prime is 1085102131. The reversal of 1085102120 is 212015801.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 855094564 + 230007556 = 29242^2 + 15166^2 .

It is a super-2 number, since 2×1085102120² = 2354893221656988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1085102092 and 1085102101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126116 + ... + 134444.

Almost surely, 2^1085102120 is an apocalyptic number.

1085102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085102120 is an abundant number, since it is smaller than the sum of its proper divisors (1357420480).

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

1085102120 is a wasteful number, since it uses less digits than its factorization.

1085102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11597 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 1085102120 is about 32940.8882697477. Note that the first 3 decimals coincide. The cubic root of 1085102120 is about 1027.5986790616.

Adding to 1085102120 its reverse (212015801), we get a palindrome (1297117921).

The spelling of 1085102120 in words is "one billion, eighty-five million, one hundred two thousand, one hundred twenty".