105521641 has 2 divisors, whose sum is σ = 105521642. Its totient is φ = 105521640.

The previous prime is 105521639. The next prime is 105521653. The reversal of 105521641 is 146125501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101505625 + 4016016 = 10075^2 + 2004^2 .

It is a cyclic number.

It is not a de Polignac number, because 105521641 - 2¹ = 105521639 is a prime.

It is a super-2 number, since 2×105521641² = 22269633438665762, which contains 22 as substring.

Together with 105521639, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105521621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52760820 + 52760821.

It is an arithmetic number, because the mean of its divisors is an integer number (52760821).

Almost surely, 2^105521641 is an apocalyptic number.

It is an amenable number.

105521641 is a deficient number, since it is larger than the sum of its proper divisors (1).

105521641 is an equidigital number, since it uses as much as digits as its factorization.

105521641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 105521641 is about 10272.3727054659. The cubic root of 105521641 is about 472.5493594563.

The spelling of 105521641 in words is "one hundred five million, five hundred twenty-one thousand, six hundred forty-one".