1105145856 has 130 divisors (see below), whose sum is σ = 3302381852. Its totient is φ = 368271360.

The previous prime is 1105145851. The next prime is 1105145861. The reversal of 1105145856 is 6585415011.

It is an interprime number because it is at equal distance from previous prime (1105145851) and next prime (1105145861).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1105145856.

It is not an unprimeable number, because it can be changed into a prime (1105145851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 330111 + ... + 333441.

Almost surely, 2^1105145856 is an apocalyptic number.

1105145856 is a gapful number since it is divisible by the number (16) 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 1105145856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651190926).

1105145856 is an abundant number, since it is smaller than the sum of its proper divisors (2197235996).

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

1105145856 is an frugal number, since it uses more digits than its factorization.

1105145856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 1105145856 is about 33243.7340862906. The cubic root of 1105145856 is about 1033.8872982056.

The spelling of 1105145856 in words is "one billion, one hundred five million, one hundred forty-five thousand, eight hundred fifty-six".