1105052400 has 180 divisors, whose sum is σ = 3866633472. Its totient is φ = 292239360.

The previous prime is 1105052371. The next prime is 1105052419. The reversal of 1105052400 is 42505011.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1105052400² = 2442281613491520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 455992 + ... + 458408.

Almost surely, 2^1105052400 is an apocalyptic number.

1105052400 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 1105052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933316736).

1105052400 is an abundant number, since it is smaller than the sum of its proper divisors (2761581072).

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

1105052400 is a wasteful number, since it uses less digits than its factorization.

1105052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1105052400 is about 33242.3284383029. The cubic root of 1105052400 is about 1033.8581540298.

Adding to 1105052400 its reverse (42505011), we get a palindrome (1147557411).

The spelling of 1105052400 in words is "one billion, one hundred five million, fifty-two thousand, four hundred".