105540100663 has 8 divisors (see below), whose sum is σ = 105748139376. Its totient is φ = 105332198400.

The previous prime is 105540100649. The next prime is 105540100709. The reversal of 105540100663 is 366001045501.

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 105540100663 - 2²¹ = 105538003511 is a prime.

It is a super-2 number, since 2×105540100663² (a number of 23 digits) 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 (105540101663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1589845 + ... + 1654897.

It is an arithmetic number, because the mean of its divisors is an integer number (13218517422).

Almost surely, 2^105540100663 is an apocalyptic number.

105540100663 is a deficient number, since it is larger than the sum of its proper divisors (208038713).

105540100663 is an equidigital number, since it uses as much as digits as its factorization.

105540100663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68225.

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 105540100663 in words is "one hundred five billion, five hundred forty million, one hundred thousand, six hundred sixty-three".