1105628616 has 96 divisors (see below), whose sum is σ = 3122159040. Its totient is φ = 366545088.

The previous prime is 1105628597. The next prime is 1105628617. The reversal of 1105628616 is 6168265011.

1105628616 is a `hidden beast` number, since 1 + 1 + 0 + 562 + 86 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1105628617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381525 + ... + 384411.

It is an arithmetic number, because the mean of its divisors is an integer number (32522490).

Almost surely, 2^1105628616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105628616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561079520).

1105628616 is an abundant number, since it is smaller than the sum of its proper divisors (2016530424).

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

1105628616 is a wasteful number, since it uses less digits than its factorization.

1105628616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1105628616 is about 33250.9942106999. The cubic root of 1105628616 is about 1034.0378203502.

The spelling of 1105628616 in words is "one billion, one hundred five million, six hundred twenty-eight thousand, six hundred sixteen".