1105705350 has 96 divisors (see below), whose sum is σ = 3053867040. Its totient is φ = 294174720.

The previous prime is 1105705327. The next prime is 1105705351. The reversal of 1105705350 is 535075011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105705351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907942 + ... + 909158.

It is an arithmetic number, because the mean of its divisors is an integer number (31811115).

Almost surely, 2^1105705350 is an apocalyptic number.

1105705350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105705350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526933520).

1105705350 is an abundant number, since it is smaller than the sum of its proper divisors (1948161690).

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

1105705350 is a wasteful number, since it uses less digits than its factorization.

1105705350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 1105705350 is about 33252.1480509154. The cubic root of 1105705350 is about 1034.0617415902.

The spelling of 1105705350 in words is "one billion, one hundred five million, seven hundred five thousand, three hundred fifty".