1105434624 has 96 divisors (see below), whose sum is σ = 3368252160. Its totient is φ = 315826176.

The previous prime is 1105434599. The next prime is 1105434643. The reversal of 1105434624 is 4264345011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1105434591 and 1105434600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30157 + ... + 55859.

It is an arithmetic number, because the mean of its divisors is an integer number (35085960).

Almost surely, 2^1105434624 is an apocalyptic number.

1105434624 is a gapful number since it is divisible by the number (14) 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 1105434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684126080).

1105434624 is an abundant number, since it is smaller than the sum of its proper divisors (2262817536).

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

1105434624 is an equidigital number, since it uses as much as digits as its factorization.

1105434624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25735 (or 25715 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1105434624 is about 33248.0769970235. The cubic root of 1105434624 is about 1033.9773398853.

Adding to 1105434624 its reverse (4264345011), we get a palindrome (5369779635).

The spelling of 1105434624 in words is "one billion, one hundred five million, four hundred thirty-four thousand, six hundred twenty-four".