101052523105 has 16 divisors (see below), whose sum is σ = 128409220944. Its totient is φ = 76078858240.

The previous prime is 101052523081. The next prime is 101052523109. The reversal of 101052523105 is 501325250101.

It can be written as a sum of positive squares in 8 ways, for example, as 11153894544 + 89898628561 = 105612^2 + 299831^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101052523105 is a prime.

It is a super-2 number, since 2×101052523105² (a number of 23 digits) 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 101052523105.

It is not an unprimeable number, because it can be changed into a prime (101052523109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861249 + ... + 971521.

It is an arithmetic number, because the mean of its divisors is an integer number (8025576309).

Almost surely, 2^101052523105 is an apocalyptic number.

It is an amenable number.

101052523105 is a deficient number, since it is larger than the sum of its proper divisors (27356697839).

101052523105 is a wasteful number, since it uses less digits than its factorization.

101052523105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121076.

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 101052523105 its reverse (501325250101), we get a palindrome (602377773206).

The spelling of 101052523105 in words is "one hundred one billion, fifty-two million, five hundred twenty-three thousand, one hundred five".