105400363663 has 16 divisors (see below), whose sum is σ = 123043783680. Its totient is φ = 88404228576.

The previous prime is 105400363637. The next prime is 105400363669. The reversal of 105400363663 is 366363004501.

It is a cyclic number.

It is not a de Polignac number, because 105400363663 - 2⁹ = 105400363151 is a prime.

It is a super-2 number, since 2×105400363663² (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 (105400363669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1894933 + ... + 1949761.

It is an arithmetic number, because the mean of its divisors is an integer number (7690236480).

Almost surely, 2^105400363663 is an apocalyptic number.

105400363663 is a deficient number, since it is larger than the sum of its proper divisors (17643420017).

105400363663 is an equidigital number, since it uses as much as digits as its factorization.

105400363663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60726.

The product of its (nonzero) digits is 116640, while the sum is 37.

The spelling of 105400363663 in words is "one hundred five billion, four hundred million, three hundred sixty-three thousand, six hundred sixty-three".