105601010053 has 16 divisors (see below), whose sum is σ = 131731678080. Its totient is φ = 82240704000.

The previous prime is 105601010051. The next prime is 105601010129. The reversal of 105601010053 is 350010106501.

It is not a de Polignac number, because 105601010053 - 2¹ = 105601010051 is a prime.

It is a super-2 number, since 2×105601010053² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105601010051) 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, 242068 + ... + 519421.

It is an arithmetic number, because the mean of its divisors is an integer number (8233229880).

Almost surely, 2^105601010053 is an apocalyptic number.

It is an amenable number.

105601010053 is a deficient number, since it is larger than the sum of its proper divisors (26130668027).

105601010053 is a wasteful number, since it uses less digits than its factorization.

105601010053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763308.

The product of its (nonzero) digits is 450, while the sum is 22.

Adding to 105601010053 its reverse (350010106501), we get a palindrome (455611116554).

The spelling of 105601010053 in words is "one hundred five billion, six hundred one million, ten thousand, fifty-three".