105106061001 has 8 divisors (see below), whose sum is σ = 141427116160. Its totient is φ = 69427856592.

The previous prime is 105106060963. The next prime is 105106061009. The reversal of 105106061001 is 100160601501.

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

It is not a de Polignac number, because 105106061001 - 2⁹ = 105106060489 is a prime.

It is a super-2 number, since 2×105106061001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105106061009) 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, 160712305 + ... + 160712958.

It is an arithmetic number, because the mean of its divisors is an integer number (17678389520).

Almost surely, 2^105106061001 is an apocalyptic number.

It is an amenable number.

105106061001 is a deficient number, since it is larger than the sum of its proper divisors (36321055159).

105106061001 is a wasteful number, since it uses less digits than its factorization.

105106061001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321425375.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 105106061001 its reverse (100160601501), we get a palindrome (205266662502).

The spelling of 105106061001 in words is "one hundred five billion, one hundred six million, sixty-one thousand, one".