105885959253 has 8 divisors (see below), whose sum is σ = 141182843808. Its totient is φ = 70589857104.

The previous prime is 105885959227. The next prime is 105885959327. The reversal of 105885959253 is 352959588501.

It is a happy number.

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

It is not a de Polignac number, because 105885959253 - 2³⁴ = 88706090069 is a prime.

It is a super-2 number, since 2×105885959253² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105885959213) 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, 298450 + ... + 548492.

It is an arithmetic number, because the mean of its divisors is an integer number (17647855476).

Almost surely, 2^105885959253 is an apocalyptic number.

It is an amenable number.

105885959253 is a deficient number, since it is larger than the sum of its proper divisors (35296884555).

105885959253 is a wasteful number, since it uses less digits than its factorization.

105885959253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391203.

The product of its (nonzero) digits is 19440000, while the sum is 60.

The spelling of 105885959253 in words is "one hundred five billion, eight hundred eighty-five million, nine hundred fifty-nine thousand, two hundred fifty-three".