101577824345 has 4 divisors (see below), whose sum is σ = 121893389220. Its totient is φ = 81262259472.

The previous prime is 101577824323. The next prime is 101577824423. The reversal of 101577824345 is 543428775101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 25386367561 + 76191456784 = 159331^2 + 276028^2 .

It is a cyclic number.

It is not a de Polignac number, because 101577824345 - 2⁶ = 101577824281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101577824345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10157782430 + ... + 10157782439.

It is an arithmetic number, because the mean of its divisors is an integer number (30473347305).

Almost surely, 2^101577824345 is an apocalyptic number.

It is an amenable number.

101577824345 is a deficient number, since it is larger than the sum of its proper divisors (20315564875).

101577824345 is an equidigital number, since it uses as much as digits as its factorization.

101577824345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20315564874.

The product of its (nonzero) digits is 940800, while the sum is 47.

The spelling of 101577824345 in words is "one hundred one billion, five hundred seventy-seven million, eight hundred twenty-four thousand, three hundred forty-five".