105210401 has 2 divisors, whose sum is σ = 105210402. Its totient is φ = 105210400.

The previous prime is 105210377. The next prime is 105210409. The reversal of 105210401 is 104012501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69222400 + 35988001 = 8320^2 + 5999^2 .

It is an emirp because it is prime and its reverse (104012501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105210401 - 2⁶ = 105210337 is a prime.

It is a super-3 number, since 3×105210401³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105210409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52605200 + 52605201.

It is an arithmetic number, because the mean of its divisors is an integer number (52605201).

Almost surely, 2^105210401 is an apocalyptic number.

It is an amenable number.

105210401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105210401 is an equidigital number, since it uses as much as digits as its factorization.

105210401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 105210401 is about 10257.2121456076. The cubic root of 105210401 is about 472.0843012908.

Adding to 105210401 its reverse (104012501), we get a palindrome (209222902).

The spelling of 105210401 in words is "one hundred five million, two hundred ten thousand, four hundred one".