105401417 has 16 divisors (see below), whose sum is σ = 122757120. Its totient is φ = 89485200.

The previous prime is 105401381. The next prime is 105401431. The reversal of 105401417 is 714104501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105401417 - 2¹² = 105397321 is a prime.

It is a super-2 number, since 2×105401417² = 22218917411215778, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105401392 and 105401401.

It is not an unprimeable number, because it can be changed into a prime (105401437) 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, 11288 + ... + 18390.

It is an arithmetic number, because the mean of its divisors is an integer number (7672320).

Almost surely, 2^105401417 is an apocalyptic number.

It is an amenable number.

105401417 is a deficient number, since it is larger than the sum of its proper divisors (17355703).

105401417 is a wasteful number, since it uses less digits than its factorization.

105401417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7204.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 105401417 is about 10266.5192251318. The cubic root of 105401417 is about 472.3698279936.

Adding to 105401417 its reverse (714104501), we get a palindrome (819505918).

The spelling of 105401417 in words is "one hundred five million, four hundred one thousand, four hundred seventeen".