1016109105 has 32 divisors (see below), whose sum is σ = 1834738560. Its totient is φ = 475668480.

The previous prime is 1016109077. The next prime is 1016109131. The reversal of 1016109105 is 5019016101.

It is not a de Polignac number, because 1016109105 - 2¹³ = 1016100913 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101392 + ... + 110961.

It is an arithmetic number, because the mean of its divisors is an integer number (57335580).

Almost surely, 2^1016109105 is an apocalyptic number.

1016109105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1016109105 is a deficient number, since it is larger than the sum of its proper divisors (818629455).

1016109105 is a wasteful number, since it uses less digits than its factorization.

1016109105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212401.

The product of its (nonzero) digits is 270, while the sum is 24.

The square root of 1016109105 is about 31876.4663192142. The cubic root of 1016109105 is about 1005.3411232790.

The spelling of 1016109105 in words is "one billion, sixteen million, one hundred nine thousand, one hundred five".