1106913600 has 588 divisors, whose sum is σ = 4458054076. Its totient is φ = 268738560.

The previous prime is 1106913581. The next prime is 1106913607. The reversal of 1106913600 is 63196011.

It can be written as a sum of positive squares in 6 ways, for example, as 98724096 + 1008189504 = 9936^2 + 31752^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106913607) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 15163164 + ... + 15163236.

Almost surely, 2^1106913600 is an apocalyptic number.

1106913600 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 1106913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229027038).

1106913600 is an abundant number, since it is smaller than the sum of its proper divisors (3351140476).

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

1106913600 is an equidigital number, since it uses as much as digits as its factorization.

1106913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1106913600 is about 33270.3110896186. The cubic root of 1106913600 is about 1034.4382584996.

The spelling of 1106913600 in words is "one billion, one hundred six million, nine hundred thirteen thousand, six hundred".