105303401 has 16 divisors (see below), whose sum is σ = 123302400. Its totient is φ = 89893440.

The previous prime is 105303397. The next prime is 105303403. The reversal of 105303401 is 104303501.

It is not a de Polignac number, because 105303401 - 2² = 105303397 is a prime.

It is a super-2 number, since 2×105303401² = 22177612524333602, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105303401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105303403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115136 + ... + 116046.

It is an arithmetic number, because the mean of its divisors is an integer number (7706400).

Almost surely, 2^105303401 is an apocalyptic number.

It is an amenable number.

105303401 is a deficient number, since it is larger than the sum of its proper divisors (17998999).

105303401 is an frugal number, since it uses more digits than its factorization.

105303401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 105303401 is about 10261.7445397944. The cubic root of 105303401 is about 472.2233588674.

Adding to 105303401 its reverse (104303501), we get a palindrome (209606902).

It can be divided in two parts, 10530 and 3401, that added together give a palindrome (13931).

The spelling of 105303401 in words is "one hundred five million, three hundred three thousand, four hundred one".