105561363 has 16 divisors (see below), whose sum is σ = 145867680. Its totient is φ = 67823616.

The previous prime is 105561353. The next prime is 105561367. The reversal of 105561363 is 363165501.

It is not a de Polignac number, because 105561363 - 2⁶ = 105561299 is a prime.

It is a super-2 number, since 2×105561363² = 22286402716835538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105561363.

It is not an unprimeable number, because it can be changed into a prime (105561367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86131 + ... + 87347.

It is an arithmetic number, because the mean of its divisors is an integer number (9116730).

Almost surely, 2^105561363 is an apocalyptic number.

105561363 is a deficient number, since it is larger than the sum of its proper divisors (40306317).

105561363 is a wasteful number, since it uses less digits than its factorization.

105561363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246.

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 105561363 is about 10274.3059619616. The cubic root of 105561363 is about 472.6086466656.

The spelling of 105561363 in words is "one hundred five million, five hundred sixty-one thousand, three hundred sixty-three".