1001616105 has 48 divisors (see below), whose sum is σ = 1870997184. Its totient is φ = 456220800.

The previous prime is 1001616079. The next prime is 1001616127. The reversal of 1001616105 is 5016161001.

It is not a de Polignac number, because 1001616105 - 2¹⁴ = 1001599721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213030 + ... + 217680.

It is an arithmetic number, because the mean of its divisors is an integer number (38979108).

Almost surely, 2^1001616105 is an apocalyptic number.

1001616105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001616105 is a deficient number, since it is larger than the sum of its proper divisors (869381079).

1001616105 is a wasteful number, since it uses less digits than its factorization.

1001616105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 1001616105 is about 31648.3191496800. The cubic root of 1001616105 is about 1000.5384117275.

Adding to 1001616105 its reverse (5016161001), we get a palindrome (6017777106).

The spelling of 1001616105 in words is "one billion, one million, six hundred sixteen thousand, one hundred five".