105034115001 has 16 divisors (see below), whose sum is σ = 149669290944. Its totient is φ = 65287832064.

The previous prime is 105034114981. The next prime is 105034115009. The reversal of 105034115001 is 100511430501.

It is a happy number.

It is not a de Polignac number, because 105034115001 - 2¹³ = 105034106809 is a prime.

It is a super-2 number, since 2×105034115001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105034115009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9618340 + ... + 9629253.

It is an arithmetic number, because the mean of its divisors is an integer number (9354330684).

Almost surely, 2^105034115001 is an apocalyptic number.

It is an amenable number.

105034115001 is a deficient number, since it is larger than the sum of its proper divisors (44635175943).

105034115001 is a wasteful number, since it uses less digits than its factorization.

105034115001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19247720.

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 105034115001 its reverse (100511430501), we get a palindrome (205545545502).

The spelling of 105034115001 in words is "one hundred five billion, thirty-four million, one hundred fifteen thousand, one".