105105746001 has 8 divisors (see below), whose sum is σ = 144973442880. Its totient is φ = 67654273232.

The previous prime is 105105745933. The next prime is 105105746017. The reversal of 105105746001 is 100647501501.

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 105105746001 - 2⁷ = 105105745873 is a prime.

It is a super-2 number, since 2×105105746001² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105105746001.

It is not an unprimeable number, because it can be changed into a prime (105105706001) 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, 604055925 + ... + 604056098.

It is an arithmetic number, because the mean of its divisors is an integer number (18121680360).

Almost surely, 2^105105746001 is an apocalyptic number.

It is an amenable number.

105105746001 is a deficient number, since it is larger than the sum of its proper divisors (39867696879).

105105746001 is a wasteful number, since it uses less digits than its factorization.

105105746001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208112055.

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 105105746001 in words is "one hundred five billion, one hundred five million, seven hundred forty-six thousand, one".