1105214400 has 504 divisors, whose sum is σ = 4245156864. Its totient is φ = 272025600.

The previous prime is 1105214347. The next prime is 1105214419. The reversal of 1105214400 is 44125011.

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 71 ways as a sum of consecutive naturals, for example, 15566365 + ... + 15566435.

Almost surely, 2^1105214400 is an apocalyptic number.

1105214400 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 1105214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122578432).

1105214400 is an abundant number, since it is smaller than the sum of its proper divisors (3139942464).

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

1105214400 is a wasteful number, since it uses less digits than its factorization.

1105214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1105214400 is about 33244.7650014254. The cubic root of 1105214400 is about 1033.9086725504.

Adding to 1105214400 its reverse (44125011), we get a palindrome (1149339411).

It can be divided in two parts, 110521 and 4400, that added together give a square (114921 = 339²).

The spelling of 1105214400 in words is "one billion, one hundred five million, two hundred fourteen thousand, four hundred".