105361581 has 8 divisors (see below), whose sum is σ = 151288480. Its totient is φ = 64837872.

The previous prime is 105361577. The next prime is 105361637. The reversal of 105361581 is 185163501.

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

It is not a de Polignac number, because 105361581 - 2² = 105361577 is a prime.

It is a super-2 number, since 2×105361581² = 22202125501639122, 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 (105361511) 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, 1350751 + ... + 1350828.

It is an arithmetic number, because the mean of its divisors is an integer number (18911060).

Almost surely, 2^105361581 is an apocalyptic number.

It is an amenable number.

105361581 is a deficient number, since it is larger than the sum of its proper divisors (45926899).

105361581 is a wasteful number, since it uses less digits than its factorization.

105361581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701595.

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 105361581 is about 10264.5789489876. The cubic root of 105361581 is about 472.3103104649.

The spelling of 105361581 in words is "one hundred five million, three hundred sixty-one thousand, five hundred eighty-one".