105000101 has 8 divisors (see below), whose sum is σ = 105979224. Its totient is φ = 104025600.

The previous prime is 105000073. The next prime is 105000107. The reversal of 105000101 is 101000501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9449476 + 95550625 = 3074^2 + 9775^2 .

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 105000101 - 2¹⁸ = 104737957 is a prime.

It is a super-2 number, since 2×105000101² = 22050042420020402, which 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 (105000107) 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 7 ways as a sum of consecutive naturals, for example, 57401 + ... + 59201.

It is an arithmetic number, because the mean of its divisors is an integer number (13247403).

Almost surely, 2^105000101 is an apocalyptic number.

It is an amenable number.

105000101 is a deficient number, since it is larger than the sum of its proper divisors (979123).

105000101 is a wasteful number, since it uses less digits than its factorization.

105000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311.

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 105000101 is about 10246.9556942538. The cubic root of 105000101 is about 471.7695492973.

Adding to 105000101 its reverse (101000501), we get a palindrome (206000602).

The spelling of 105000101 in words is "one hundred five million, one hundred one", and thus it is an aban number.