10505958405 has 16 divisors (see below), whose sum is σ = 16814512320. Its totient is φ = 5601518208.

The previous prime is 10505958403. The next prime is 10505958409. The reversal of 10505958405 is 50485950501.

It is a happy number.

It is not a de Polignac number, because 10505958405 - 2¹ = 10505958403 is a prime.

It is a super-2 number, since 2×10505958405² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505958403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50515 + ... + 153504.

It is an arithmetic number, because the mean of its divisors is an integer number (1050907020).

Almost surely, 2^10505958405 is an apocalyptic number.

10505958405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10505958405 is a deficient number, since it is larger than the sum of its proper divisors (6308553915).

10505958405 is a wasteful number, since it uses less digits than its factorization.

10505958405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207460.

The product of its (nonzero) digits is 180000, while the sum is 42.

The spelling of 10505958405 in words is "ten billion, five hundred five million, nine hundred fifty-eight thousand, four hundred five".