105215513321 has 32 divisors (see below), whose sum is σ = 113325004800. Its totient is φ = 97506803520.

The previous prime is 105215513317. The next prime is 105215513363. The reversal of 105215513321 is 123315512501.

It is a cyclic number.

It is not a de Polignac number, because 105215513321 - 2² = 105215513317 is a prime.

It is a super-2 number, since 2×105215513321² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105215513311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15721586 + ... + 15728276.

It is an arithmetic number, because the mean of its divisors is an integer number (3541406400).

Almost surely, 2^105215513321 is an apocalyptic number.

It is an amenable number.

105215513321 is a deficient number, since it is larger than the sum of its proper divisors (8109491479).

105215513321 is a wasteful number, since it uses less digits than its factorization.

105215513321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6989.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 105215513321 in words is "one hundred five billion, two hundred fifteen million, five hundred thirteen thousand, three hundred twenty-one".