1186102016 has 108 divisors (see below), whose sum is σ = 2649036264. Its totient is φ = 529999360.

The previous prime is 1186102009. The next prime is 1186102033. The reversal of 1186102016 is 6102016811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20103395 + ... + 20103453.

Almost surely, 2^1186102016 is an apocalyptic number.

1186102016 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 1186102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324518132).

1186102016 is an abundant number, since it is smaller than the sum of its proper divisors (1462934248).

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

1186102016 is an frugal number, since it uses more digits than its factorization.

1186102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 1186102016 is about 34439.8318230505. The cubic root of 1186102016 is about 1058.5401810562.

Adding to 1186102016 its reverse (6102016811), we get a palindrome (7288118827).

The spelling of 1186102016 in words is "one billion, one hundred eighty-six million, one hundred two thousand, sixteen".