105834769095 has 64 divisors (see below), whose sum is σ = 194520268800. Its totient is φ = 48596135040.

The previous prime is 105834769069. The next prime is 105834769097. The reversal of 105834769095 is 590967438501.

It is not a de Polignac number, because 105834769095 - 2¹² = 105834764999 is a prime.

It is a super-2 number, since 2×105834769095² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105834769097) 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 63 ways as a sum of consecutive naturals, for example, 15417634 + ... + 15424496.

It is an arithmetic number, because the mean of its divisors is an integer number (3039379200).

Almost surely, 2^105834769095 is an apocalyptic number.

105834769095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105834769095 is a deficient number, since it is larger than the sum of its proper divisors (88685499705).

105834769095 is a wasteful number, since it uses less digits than its factorization.

105834769095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11820.

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 105834769095 in words is "one hundred five billion, eight hundred thirty-four million, seven hundred sixty-nine thousand, ninety-five".