106005010901 has 4 divisors (see below), whose sum is σ = 107457134412. Its totient is φ = 104552887392.

The previous prime is 106005010879. The next prime is 106005010907. The reversal of 106005010901 is 109010500601.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 109010500601 = 1303 ⋅83661167.

It can be written as a sum of positive squares in 2 ways, for example, as 39056035876 + 66948975025 = 197626^2 + 258745^2 .

It is a cyclic number.

It is not a de Polignac number, because 106005010901 - 2¹⁴ = 106004994517 is a prime.

It is a super-2 number, since 2×106005010901² (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 (106005010907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 726061646 + ... + 726061791.

It is an arithmetic number, because the mean of its divisors is an integer number (26864283603).

Almost surely, 2^106005010901 is an apocalyptic number.

It is an amenable number.

106005010901 is a deficient number, since it is larger than the sum of its proper divisors (1452123511).

106005010901 is an equidigital number, since it uses as much as digits as its factorization.

106005010901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452123510.

The product of its (nonzero) digits is 270, while the sum is 23.

The spelling of 106005010901 in words is "one hundred six billion, five million, ten thousand, nine hundred one".