1106101000 has 32 divisors (see below), whose sum is σ = 2588278680. Its totient is φ = 442440000.

The previous prime is 1106100973. The next prime is 1106101001. The reversal of 1106101000 is 1016011.

It can be written as a sum of positive squares in 4 ways, for example, as 148693636 + 957407364 = 12194^2 + 30942^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1106101001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 552051 + ... + 554050.

Almost surely, 2^1106101000 is an apocalyptic number.

1106101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1106101000 is an abundant number, since it is smaller than the sum of its proper divisors (1482177680).

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

1106101000 is a wasteful number, since it uses less digits than its factorization.

1106101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106122 (or 1106108 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1106101000 is about 33258.0967585339. The cubic root of 1106101000 is about 1034.1850649027.

Adding to 1106101000 its reverse (1016011), we get a palindrome (1107117011).

The spelling of 1106101000 in words is "one billion, one hundred six million, one hundred one thousand".