105010430041 has 32 divisors (see below), whose sum is σ = 124801729920. Its totient is φ = 87323443200.

The previous prime is 105010430029. The next prime is 105010430051. The reversal of 105010430041 is 140034010501.

It is a cyclic number.

It is not a de Polignac number, because 105010430041 - 2⁵ = 105010430009 is a prime.

It is a super-2 number, since 2×105010430041² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105010430051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768025 + ... + 894361.

It is an arithmetic number, because the mean of its divisors is an integer number (3900054060).

Almost surely, 2^105010430041 is an apocalyptic number.

105010430041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105010430041 is a deficient number, since it is larger than the sum of its proper divisors (19791299879).

105010430041 is a wasteful number, since it uses less digits than its factorization.

105010430041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126505.

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 105010430041 its reverse (140034010501), we get a palindrome (245044440542).

The spelling of 105010430041 in words is "one hundred five billion, ten million, four hundred thirty thousand, forty-one".