1106321000 has 64 divisors (see below), whose sum is σ = 2678130000. Its totient is φ = 427257600.

The previous prime is 1106320967. The next prime is 1106321023. The reversal of 1106321000 is 1236011.

It can be written as a sum of positive squares in 8 ways, for example, as 192709924 + 913611076 = 13882^2 + 30226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9926 + ... + 48074.

Almost surely, 2^1106321000 is an apocalyptic number.

1106321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339065000).

1106321000 is an abundant number, since it is smaller than the sum of its proper divisors (1571809000).

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

1106321000 is a wasteful number, since it uses less digits than its factorization.

1106321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38199 (or 38185 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1106321000 is about 33261.4040593599. The cubic root of 1106321000 is about 1034.2536257398.

Adding to 1106321000 its reverse (1236011), we get a palindrome (1107557011).

The spelling of 1106321000 in words is "one billion, one hundred six million, three hundred twenty-one thousand".