105203577101 has 8 divisors (see below), whose sum is σ = 120347066304. Its totient is φ = 90088689600.

The previous prime is 105203577097. The next prime is 105203577119. The reversal of 105203577101 is 101775302501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105203577101 - 2² = 105203577097 is a prime.

It is a super-2 number, since 2×105203577101² (a number of 23 digits) 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 (105203577181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7142540 + ... + 7157253.

It is an arithmetic number, because the mean of its divisors is an integer number (15043383288).

Almost surely, 2^105203577101 is an apocalyptic number.

It is an amenable number.

105203577101 is a deficient number, since it is larger than the sum of its proper divisors (15143489203).

105203577101 is a wasteful number, since it uses less digits than its factorization.

105203577101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14300851.

The product of its (nonzero) digits is 7350, while the sum is 32.

Adding to 105203577101 its reverse (101775302501), we get a palindrome (206978879602).

The spelling of 105203577101 in words is "one hundred five billion, two hundred three million, five hundred seventy-seven thousand, one hundred one".