105051101 has 2 divisors, whose sum is σ = 105051102. Its totient is φ = 105051100.

The previous prime is 105051091. The next prime is 105051113. The reversal of 105051101 is 101150501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97042201 + 8008900 = 9851^2 + 2830^2 .

It is an emirp because it is prime and its reverse (101150501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105051101 is a prime.

It is a super-2 number, since 2×105051101² = 22071467642624402, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105051151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52525550 + 52525551.

It is an arithmetic number, because the mean of its divisors is an integer number (52525551).

Almost surely, 2^105051101 is an apocalyptic number.

It is an amenable number.

105051101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105051101 is an equidigital number, since it uses as much as digits as its factorization.

105051101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25, while the sum is 14.

The square root of 105051101 is about 10249.4439361362. The cubic root of 105051101 is about 471.8459185972.

The spelling of 105051101 in words is "one hundred five million, fifty-one thousand, one hundred one".