105909071 has 8 divisors (see below), whose sum is σ = 108101760. Its totient is φ = 103729752.

The previous prime is 105909061. The next prime is 105909103. The reversal of 105909071 is 170909501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105909071 - 2¹⁴ = 105892687 is a prime.

It is a super-2 number, since 2×105909071² = 22433462640166082, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105909061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13526 + ... + 19868.

It is an arithmetic number, because the mean of its divisors is an integer number (13512720).

Almost surely, 2^105909071 is an apocalyptic number.

105909071 is a deficient number, since it is larger than the sum of its proper divisors (2192689).

105909071 is an equidigital number, since it uses as much as digits as its factorization.

105909071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685.

The product of its (nonzero) digits is 2835, while the sum is 32.

The square root of 105909071 is about 10291.2132909585. The cubic root of 105909071 is about 473.1269856479.

The spelling of 105909071 in words is "one hundred five million, nine hundred nine thousand, seventy-one".