1101945600 has 432 divisors, whose sum is σ = 4623037440. Its totient is φ = 251596800.

The previous prime is 1101945553. The next prime is 1101945613. The reversal of 1101945600 is 65491011.

1101945600 is a `hidden beast` number, since 1 + 1 + 0 + 19 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1209145 + ... + 1210055.

Almost surely, 2^1101945600 is an apocalyptic number.

1101945600 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 1101945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311518720).

1101945600 is an abundant number, since it is smaller than the sum of its proper divisors (3521091840).

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

1101945600 is an equidigital number, since it uses as much as digits as its factorization.

1101945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1101945600 is about 33195.5659689664. The cubic root of 1101945600 is about 1032.8883643195. Note that the first 3 decimals are identical.

The spelling of 1101945600 in words is "one billion, one hundred one million, nine hundred forty-five thousand, six hundred".