100105500110653 has 2 divisors, whose sum is σ = 100105500110654. Its totient is φ = 100105500110652.

The previous prime is 100105500110579. The next prime is 100105500110711. The reversal of 100105500110653 is 356011005501001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96087888768249 + 4017611342404 = 9802443^2 + 2004398^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100105500110653 is a prime.

It is a super-2 number, since 2×100105500110653² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105500110453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052750055326 + 50052750055327.

It is an arithmetic number, because the mean of its divisors is an integer number (50052750055327).

Almost surely, 2^{100105500110653} is an apocalyptic number.

It is an amenable number.

100105500110653 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105500110653 is an equidigital number, since it uses as much as digits as its factorization.

100105500110653 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2250, while the sum is 28.

Adding to 100105500110653 its reverse (356011005501001), we get a palindrome (456116505611654).

The spelling of 100105500110653 in words is "one hundred trillion, one hundred five billion, five hundred million, one hundred ten thousand, six hundred fifty-three".