105215350333145 has 32 divisors (see below), whose sum is σ = 136044295027200. Its totient is φ = 77655393252864.

The previous prime is 105215350333133. The next prime is 105215350333229. The reversal of 105215350333145 is 541333053512501.

It is a cyclic number.

It is not a de Polignac number, because 105215350333145 - 2¹⁴ = 105215350316761 is a prime.

It is a super-2 number, since 2×105215350333145² (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 (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942539804 + ... + 942651426.

It is an arithmetic number, because the mean of its divisors is an integer number (4251384219600).

Almost surely, 2^{105215350333145} is an apocalyptic number.

It is an amenable number.

105215350333145 is a deficient number, since it is larger than the sum of its proper divisors (30828944694055).

105215350333145 is a wasteful number, since it uses less digits than its factorization.

105215350333145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119369.

The product of its (nonzero) digits is 405000, while the sum is 41.

The spelling of 105215350333145 in words is "one hundred five trillion, two hundred fifteen billion, three hundred fifty million, three hundred thirty-three thousand, one hundred forty-five".