105034831 has 16 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 90110880.

The previous prime is 105034819. The next prime is 105034837. The reversal of 105034831 is 138430501.

It is a cyclic number.

It is not a de Polignac number, because 105034831 - 2⁷ = 105034703 is a prime.

It is a super-2 number, since 2×105034831² = 22064631446397122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105034796 and 105034805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105034837) 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, 63345 + ... + 64981.

It is an arithmetic number, because the mean of its divisors is an integer number (7567560).

Almost surely, 2^105034831 is an apocalyptic number.

105034831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105034831 is a deficient number, since it is larger than the sum of its proper divisors (16046129).

105034831 is a wasteful number, since it uses less digits than its factorization.

105034831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 105034831 is about 10248.6502038073. The cubic root of 105034831 is about 471.8215579785.

The spelling of 105034831 in words is "one hundred five million, thirty-four thousand, eight hundred thirty-one".