105421125101 has 8 divisors (see below), whose sum is σ = 111681996984. Its totient is φ = 99166878720.

The previous prime is 105421125079. The next prime is 105421125127. The reversal of 105421125101 is 101521124501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 451605001 + 104969520100 = 21251^2 + 323990^2 .

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 105421125101 - 2⁶ = 105421125037 is a prime.

It is a super-2 number, since 2×105421125101² (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 (105421125151) 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, 1623590 + ... + 1687271.

It is an arithmetic number, because the mean of its divisors is an integer number (13960249623).

Almost surely, 2^105421125101 is an apocalyptic number.

It is an amenable number.

105421125101 is a deficient number, since it is larger than the sum of its proper divisors (6260871883).

105421125101 is a wasteful number, since it uses less digits than its factorization.

105421125101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312751.

The product of its (nonzero) digits is 400, while the sum is 23.

Adding to 105421125101 its reverse (101521124501), we get a palindrome (206942249602).

The spelling of 105421125101 in words is "one hundred five billion, four hundred twenty-one million, one hundred twenty-five thousand, one hundred one".