105020312401 has 8 divisors (see below), whose sum is σ = 106127207424. Its totient is φ = 103913911680.

The previous prime is 105020312381. The next prime is 105020312413. The reversal of 105020312401 is 104213020501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105020312401 - 2⁷ = 105020312273 is a prime.

It is a super-2 number, since 2×105020312401² (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 (105020312431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311616 + ... + 554206.

It is an arithmetic number, because the mean of its divisors is an integer number (13265900928).

Almost surely, 2^105020312401 is an apocalyptic number.

It is an amenable number.

105020312401 is a deficient number, since it is larger than the sum of its proper divisors (1106895023).

105020312401 is an equidigital number, since it uses as much as digits as its factorization.

105020312401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247151.

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

Adding to 105020312401 its reverse (104213020501), we get a palindrome (209233332902).

The spelling of 105020312401 in words is "one hundred five billion, twenty million, three hundred twelve thousand, four hundred one".