1106973400 has 144 divisors (see below), whose sum is σ = 2857785840. Its totient is φ = 396403200.

The previous prime is 1106973349. The next prime is 1106973403. The reversal of 1106973400 is 43796011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106973403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3559245 + ... + 3559555.

It is an arithmetic number, because the mean of its divisors is an integer number (19845735).

Almost surely, 2^1106973400 is an apocalyptic number.

1106973400 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 1106973400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428892920).

1106973400 is an abundant number, since it is smaller than the sum of its proper divisors (1750812440).

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

1106973400 is a wasteful number, since it uses less digits than its factorization.

1106973400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 1106973400 is about 33271.2097766222. The cubic root of 1106973400 is about 1034.4568863593.

The spelling of 1106973400 in words is "one billion, one hundred six million, nine hundred seventy-three thousand, four hundred".