105010838435 has 16 divisors (see below), whose sum is σ = 127452185856. Its totient is φ = 83052446688.

The previous prime is 105010838407. The next prime is 105010838437. The reversal of 105010838435 is 534838010501.

It is a cyclic number.

It is not a de Polignac number, because 105010838435 - 2¹⁴ = 105010822051 is a prime.

It is a super-2 number, since 2×105010838435² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105010838437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59024 + ... + 462066.

It is an arithmetic number, because the mean of its divisors is an integer number (7965761616).

Almost surely, 2^105010838435 is an apocalyptic number.

105010838435 is a deficient number, since it is larger than the sum of its proper divisors (22441347421).

105010838435 is a wasteful number, since it uses less digits than its factorization.

105010838435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403642.

The product of its (nonzero) digits is 57600, while the sum is 38.

Adding to 105010838435 its reverse (534838010501), we get a palindrome (639848848936).

The spelling of 105010838435 in words is "one hundred five billion, ten million, eight hundred thirty-eight thousand, four hundred thirty-five".