101042577 has 12 divisors (see below), whose sum is σ = 154535940. Its totient is φ = 63399168.

The previous prime is 101042567. The next prime is 101042581. The reversal of 101042577 is 775240101.

It can be written as a sum of positive squares in 2 ways, for example, as 64064016 + 36978561 = 8004^2 + 6081^2 .

It is not a de Polignac number, because 101042577 - 2⁸ = 101042321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101042577.

It is not an unprimeable number, because it can be changed into a prime (101042567) 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 11 ways as a sum of consecutive naturals, for example, 330052 + ... + 330357.

It is an arithmetic number, because the mean of its divisors is an integer number (12877995).

Almost surely, 2^101042577 is an apocalyptic number.

101042577 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

101042577 is a deficient number, since it is larger than the sum of its proper divisors (53493363).

101042577 is a wasteful number, since it uses less digits than its factorization.

101042577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660432 (or 660429 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 101042577 is about 10051.9936828472. The cubic root of 101042577 is about 465.7663810240.

Adding to 101042577 its reverse (775240101), we get a palindrome (876282678).

The spelling of 101042577 in words is "one hundred one million, forty-two thousand, five hundred seventy-seven".