105721955501 has 2 divisors, whose sum is σ = 105721955502. Its totient is φ = 105721955500.

The previous prime is 105721955467. The next prime is 105721955519. The reversal of 105721955501 is 105559127501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100052016100 + 5669939401 = 316310^2 + 75299^2 .

It is a cyclic number.

It is not a de Polignac number, because 105721955501 - 2¹⁴ = 105721939117 is a prime.

It is a super-2 number, since 2×105721955501² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105721957501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52860977750 + 52860977751.

It is an arithmetic number, because the mean of its divisors is an integer number (52860977751).

Almost surely, 2^105721955501 is an apocalyptic number.

It is an amenable number.

105721955501 is a deficient number, since it is larger than the sum of its proper divisors (1).

105721955501 is an equidigital number, since it uses as much as digits as its factorization.

105721955501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 78750, while the sum is 41.

The spelling of 105721955501 in words is "one hundred five billion, seven hundred twenty-one million, nine hundred fifty-five thousand, five hundred one".