105464089 has 2 divisors, whose sum is σ = 105464090. Its totient is φ = 105464088.

The previous prime is 105464063. The next prime is 105464101. The reversal of 105464089 is 980464501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95648400 + 9815689 = 9780^2 + 3133^2 .

It is a cyclic number.

It is not a de Polignac number, because 105464089 - 2⁹ = 105463577 is a prime.

It is a super-2 number, since 2×105464089² = 22245348137199842, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105464389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52732044 + 52732045.

It is an arithmetic number, because the mean of its divisors is an integer number (52732045).

Almost surely, 2^105464089 is an apocalyptic number.

It is an amenable number.

105464089 is a deficient number, since it is larger than the sum of its proper divisors (1).

105464089 is an equidigital number, since it uses as much as digits as its factorization.

105464089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 105464089 is about 10269.5710231733. The cubic root of 105464089 is about 472.4634336175.

It can be divided in two parts, 1054640 and 89, that added together give a square (1054729 = 1027²).

The spelling of 105464089 in words is "one hundred five million, four hundred sixty-four thousand, eighty-nine".