1105345920 has 384 divisors, whose sum is σ = 4241894400. Its totient is φ = 243855360.

The previous prime is 1105345909. The next prime is 1105345987. The reversal of 1105345920 is 295435011.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2916291 + ... + 2916669.

It is an arithmetic number, because the mean of its divisors is an integer number (11046600).

Almost surely, 2^1105345920 is an apocalyptic number.

1105345920 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 1105345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120947200).

1105345920 is an abundant number, since it is smaller than the sum of its proper divisors (3136548480).

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

1105345920 is a wasteful number, since it uses less digits than its factorization.

1105345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1105345920 is about 33246.7429983750. The cubic root of 1105345920 is about 1033.9496824743.

The spelling of 1105345920 in words is "one billion, one hundred five million, three hundred forty-five thousand, nine hundred twenty".