105835828031 has 4 divisors (see below), whose sum is σ = 112061464992. Its totient is φ = 99610191072.

The previous prime is 105835828013. The next prime is 105835828037. The reversal of 105835828031 is 130828538501.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105835828031 - 2⁶ = 105835827967 is a prime.

It is a super-2 number, since 2×105835828031² (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 (105835828037) 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 3 ways as a sum of consecutive naturals, for example, 3112818455 + ... + 3112818488.

It is an arithmetic number, because the mean of its divisors is an integer number (28015366248).

Almost surely, 2^105835828031 is an apocalyptic number.

105835828031 is a deficient number, since it is larger than the sum of its proper divisors (6225636961).

105835828031 is an equidigital number, since it uses as much as digits as its factorization.

105835828031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6225636960.

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 105835828031 in words is "one hundred five billion, eight hundred thirty-five million, eight hundred twenty-eight thousand, thirty-one".