105021414401 has 2 divisors, whose sum is σ = 105021414402. Its totient is φ = 105021414400.

The previous prime is 105021414383. The next prime is 105021414457. The reversal of 105021414401 is 104414120501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84285702400 + 20735712001 = 290320^2 + 143999^2 .

It is a cyclic number.

It is not a de Polignac number, because 105021414401 - 2²⁶ = 104954305537 is a prime.

It is a super-2 number, since 2×105021414401² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105021410401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52510707200 + 52510707201.

It is an arithmetic number, because the mean of its divisors is an integer number (52510707201).

Almost surely, 2^105021414401 is an apocalyptic number.

It is an amenable number.

105021414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105021414401 is an equidigital number, since it uses as much as digits as its factorization.

105021414401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 105021414401 its reverse (104414120501), we get a palindrome (209435534902).

The spelling of 105021414401 in words is "one hundred five billion, twenty-one million, four hundred fourteen thousand, four hundred one".