1105168416 has 96 divisors (see below), whose sum is σ = 3173421888. Its totient is φ = 333987840.

The previous prime is 1105168403. The next prime is 1105168457. The reversal of 1105168416 is 6148615011.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456040 + ... + 458456.

It is an arithmetic number, because the mean of its divisors is an integer number (33056478).

Almost surely, 2^1105168416 is an apocalyptic number.

1105168416 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 1105168416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586710944).

1105168416 is an abundant number, since it is smaller than the sum of its proper divisors (2068253472).

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

1105168416 is a wasteful number, since it uses less digits than its factorization.

1105168416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1105168416 is about 33244.0733966221. The cubic root of 1105168416 is about 1033.8943332766.

The spelling of 1105168416 in words is "one billion, one hundred five million, one hundred sixty-eight thousand, four hundred sixteen".