105050100101 has 8 divisors (see below), whose sum is σ = 112330801944. Its totient is φ = 97891763200.

The previous prime is 105050100073. The next prime is 105050100107. The reversal of 105050100101 is 101001050501.

It can be written as a sum of positive squares in 4 ways, for example, as 31282996900 + 73767103201 = 176870^2 + 271601^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105050100101 - 2⁶ = 105050100037 is a prime.

It is a super-2 number, since 2×105050100101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105050100107) 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, 30589460 + ... + 30592893.

It is an arithmetic number, because the mean of its divisors is an integer number (14041350243).

Almost surely, 2^105050100101 is an apocalyptic number.

It is an amenable number.

105050100101 is a deficient number, since it is larger than the sum of its proper divisors (7280701843).

105050100101 is a wasteful number, since it uses less digits than its factorization.

105050100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61182471.

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 105050100101 its reverse (101001050501), we get a palindrome (206051150602).

The spelling of 105050100101 in words is "one hundred five billion, fifty million, one hundred thousand, one hundred one".