105034121533315 has 16 divisors (see below), whose sum is σ = 135737119677600. Its totient is φ = 77563249569792.

The previous prime is 105034121533291. The next prime is 105034121533337. The reversal of 105034121533315 is 513335121430501.

It is a cyclic number.

It is not a de Polignac number, because 105034121533315 - 2⁵ = 105034121533283 is a prime.

It is a super-2 number, since 2×105034121533315² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8433091 + ... + 16768579.

It is an arithmetic number, because the mean of its divisors is an integer number (8483569979850).

Almost surely, 2^{105034121533315} is an apocalyptic number.

105034121533315 is a deficient number, since it is larger than the sum of its proper divisors (30702998144285).

105034121533315 is a wasteful number, since it uses less digits than its factorization.

105034121533315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8529366.

The product of its (nonzero) digits is 81000, while the sum is 37.

Adding to 105034121533315 its reverse (513335121430501), we get a palindrome (618369242963816).

The spelling of 105034121533315 in words is "one hundred five trillion, thirty-four billion, one hundred twenty-one million, five hundred thirty-three thousand, three hundred fifteen".