105742563 has 8 divisors (see below), whose sum is σ = 141835008. Its totient is φ = 70072584.

The previous prime is 105742561. The next prime is 105742589. The reversal of 105742563 is 365247501.

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

It is not a de Polignac number, because 105742563 - 2¹ = 105742561 is a prime.

It is a super-2 number, since 2×105742563² = 22362979259617938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105742561) 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, 105031 + ... + 106032.

It is an arithmetic number, because the mean of its divisors is an integer number (17729376).

Almost surely, 2^105742563 is an apocalyptic number.

105742563 is a deficient number, since it is larger than the sum of its proper divisors (36092445).

105742563 is a wasteful number, since it uses less digits than its factorization.

105742563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211233.

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 105742563 is about 10283.1202949299. The cubic root of 105742563 is about 472.8789088509.

The spelling of 105742563 in words is "one hundred five million, seven hundred forty-two thousand, five hundred sixty-three".