105342525243501 has 48 divisors (see below), whose sum is σ = 175980384433728. Its totient is φ = 55557823104000.

The previous prime is 105342525243481. The next prime is 105342525243523.

105342525243501 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 105342525243501 - 2²³ = 105342516854893 is a prime.

It is a super-2 number, since 2×105342525243501² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105342525243401) 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, 10539741 + ... + 17937981.

It is an arithmetic number, because the mean of its divisors is an integer number (3666258009036).

Almost surely, 2^{105342525243501} is an apocalyptic number.

It is an amenable number.

105342525243501 is a deficient number, since it is larger than the sum of its proper divisors (70637859190227).

105342525243501 is a wasteful number, since it uses less digits than its factorization.

105342525243501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7405722 (or 7405715 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 105342525243501 in words is "one hundred five trillion, three hundred forty-two billion, five hundred twenty-five million, two hundred forty-three thousand, five hundred one".