105120141 has 48 divisors (see below), whose sum is σ = 174720960. Its totient is φ = 55883520.

The previous prime is 105120137. The next prime is 105120149. The reversal of 105120141 is 141021501.

It is a happy number.

It is not a de Polignac number, because 105120141 - 2² = 105120137 is a prime.

It is a super-2 number, since 2×105120141² = 22100488087719762, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105120141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105120149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170065 + ... + 170681.

It is an arithmetic number, because the mean of its divisors is an integer number (3640020).

Almost surely, 2^105120141 is an apocalyptic number.

It is an amenable number.

105120141 is a deficient number, since it is larger than the sum of its proper divisors (69600819).

105120141 is a wasteful number, since it uses less digits than its factorization.

105120141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 105120141 is about 10252.8113705461. The cubic root of 105120141 is about 471.9492622973.

Adding to 105120141 its reverse (141021501), we get a palindrome (246141642).

The spelling of 105120141 in words is "one hundred five million, one hundred twenty thousand, one hundred forty-one".