105064477 has 24 divisors (see below), whose sum is σ = 127798560. Its totient is φ = 86012640.

The previous prime is 105064469. The next prime is 105064481. The reversal of 105064477 is 774460501.

It is a happy number.

It is not a de Polignac number, because 105064477 - 2³ = 105064469 is a prime.

It is a super-2 number, since 2×105064477² = 22077088654567058, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105064417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151702 + ... + 152392.

It is an arithmetic number, because the mean of its divisors is an integer number (5324940).

Almost surely, 2^105064477 is an apocalyptic number.

It is an amenable number.

105064477 is a deficient number, since it is larger than the sum of its proper divisors (22734083).

105064477 is a wasteful number, since it uses less digits than its factorization.

105064477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 105064477 is about 10250.0964385707. The cubic root of 105064477 is about 471.8659442263.

The spelling of 105064477 in words is "one hundred five million, sixty-four thousand, four hundred seventy-seven".