105142401 has 32 divisors (see below), whose sum is σ = 191717120. Its totient is φ = 55458432.

The previous prime is 105142391. The next prime is 105142417. The reversal of 105142401 is 104241501.

It is not a de Polignac number, because 105142401 - 2¹⁴ = 105126017 is a prime.

It is a super-2 number, since 2×105142401² = 22109848976089602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105142451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18940 + ... + 23853.

It is an arithmetic number, because the mean of its divisors is an integer number (5991160).

Almost surely, 2^105142401 is an apocalyptic number.

It is an amenable number.

105142401 is a deficient number, since it is larger than the sum of its proper divisors (86574719).

105142401 is a wasteful number, since it uses less digits than its factorization.

105142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42822 (or 42816 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105142401 is about 10253.8968689957. The cubic root of 105142401 is about 471.9825729106.

Adding to 105142401 its reverse (104241501), we get a palindrome (209383902).

The spelling of 105142401 in words is "one hundred five million, one hundred forty-two thousand, four hundred one".