105100101 has 6 divisors (see below), whose sum is σ = 151811270. Its totient is φ = 70066728.

The previous prime is 105100049. The next prime is 105100109. The reversal of 105100101 is 101001501.

It can be written as a sum of positive squares in only one way, i.e., 59213025 + 45887076 = 7695^2 + 6774^2 .

It is not a de Polignac number, because 105100101 - 2¹⁴ = 105083717 is a prime.

It is a super-2 number, since 2×105100101² = 22092062460420402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11677789 = 105100101 / (1 + 0 + 5 + 1 + 0 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5838886 + ... + 5838903.

Almost surely, 2^105100101 is an apocalyptic number.

It is an amenable number.

105100101 is a deficient number, since it is larger than the sum of its proper divisors (46711169).

105100101 is a wasteful number, since it uses less digits than its factorization.

105100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11677795 (or 11677792 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 105100101 is about 10251.8340310405. The cubic root of 105100101 is about 471.9192697440.

Adding to 105100101 its reverse (101001501), we get a palindrome (206101602).

The spelling of 105100101 in words is "one hundred five million, one hundred thousand, one hundred one".