105035077 has 6 divisors (see below), whose sum is σ = 122183718. Its totient is φ = 90030024.

The previous prime is 105035053. The next prime is 105035093. The reversal of 105035077 is 770530501.

It can be written as a sum of positive squares in only one way, i.e., 81162081 + 23872996 = 9009^2 + 4886^2 .

It is not a de Polignac number, because 105035077 - 2¹¹ = 105033029 is a prime.

It is a super-2 number, since 2×105035077² = 22064734800791858, 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 (105035377) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1071738 + ... + 1071835.

It is an arithmetic number, because the mean of its divisors is an integer number (20363953).

Almost surely, 2^105035077 is an apocalyptic number.

It is an amenable number.

105035077 is a deficient number, since it is larger than the sum of its proper divisors (17148641).

105035077 is an equidigital number, since it uses as much as digits as its factorization.

105035077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143587 (or 2143580 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 28.

The square root of 105035077 is about 10248.6622053808. The cubic root of 105035077 is about 471.8219263262.

Adding to 105035077 its reverse (770530501), we get a palindrome (875565578).

The spelling of 105035077 in words is "one hundred five million, thirty-five thousand, seventy-seven".