105405030401 has 32 divisors (see below), whose sum is σ = 127061913600. Its totient is φ = 86361768000.

The previous prime is 105405030391. The next prime is 105405030457. The reversal of 105405030401 is 104030504501.

It is a cyclic number.

It is not a de Polignac number, because 105405030401 - 2¹⁸ = 105404768257 is a prime.

It is a super-2 number, since 2×105405030401² (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 (105405020401) 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, 244391 + ... + 520131.

It is an arithmetic number, because the mean of its divisors is an integer number (3970684800).

Almost surely, 2^105405030401 is an apocalyptic number.

105405030401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105405030401 is a deficient number, since it is larger than the sum of its proper divisors (21656883199).

105405030401 is a wasteful number, since it uses less digits than its factorization.

105405030401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275861.

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 105405030401 its reverse (104030504501), we get a palindrome (209435534902).

The spelling of 105405030401 in words is "one hundred five billion, four hundred five million, thirty thousand, four hundred one".