105561591 has 8 divisors (see below), whose sum is σ = 140832384. Its totient is φ = 70332600.

The previous prime is 105561581. The next prime is 105561601. The reversal of 105561591 is 195165501.

It is an interprime number because it is at equal distance from previous prime (105561581) and next prime (105561601).

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

It is not a de Polignac number, because 105561591 - 2²³ = 97172983 is a prime.

It is a super-2 number, since 2×105561591² = 22286498988902562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105561581) 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, 3985 + ... + 15066.

It is an arithmetic number, because the mean of its divisors is an integer number (17604048).

Almost surely, 2^105561591 is an apocalyptic number.

105561591 is a deficient number, since it is larger than the sum of its proper divisors (35270793).

105561591 is a wasteful number, since it uses less digits than its factorization.

105561591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20901.

The product of its (nonzero) digits is 6750, while the sum is 33.

The square root of 105561591 is about 10274.3170575956. The cubic root of 105561591 is about 472.6089869249.

The spelling of 105561591 in words is "one hundred five million, five hundred sixty-one thousand, five hundred ninety-one".