105105111061001 has 8 divisors (see below), whose sum is σ = 110637179059680. Its totient is φ = 99573065067168.

The previous prime is 105105111060979. The next prime is 105105111061009. The reversal of 105105111061001 is 100160111501501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105105111061001 is a prime.

It is a super-2 number, since 2×105105111061001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105105111061009) 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, 4797470 + ... + 15271736.

It is an arithmetic number, because the mean of its divisors is an integer number (13829647382460).

Almost surely, 2^{105105111061001} is an apocalyptic number.

It is an amenable number.

105105111061001 is a deficient number, since it is larger than the sum of its proper divisors (5532067998679).

105105111061001 is a wasteful number, since it uses less digits than its factorization.

105105111061001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11002423.

The product of its (nonzero) digits is 150, while the sum is 23.

Adding to 105105111061001 its reverse (100160111501501), we get a palindrome (205265222562502).

The spelling of 105105111061001 in words is "one hundred five trillion, one hundred five billion, one hundred eleven million, sixty-one thousand, one".