105450352215 has 192 divisors, whose sum is σ = 201790310400. Its totient is φ = 46574161920.

The previous prime is 105450352199. The next prime is 105450352223. The reversal of 105450352215 is 512253054501.

It is not a de Polignac number, because 105450352215 - 2⁴ = 105450352199 is a prime.

It is a super-2 number, since 2×105450352215² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 251671276 + ... + 251671694.

It is an arithmetic number, because the mean of its divisors is an integer number (1050991200).

Almost surely, 2^105450352215 is an apocalyptic number.

105450352215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105450352215 is a deficient number, since it is larger than the sum of its proper divisors (96339958185).

105450352215 is a wasteful number, since it uses less digits than its factorization.

105450352215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 105450352215 in words is "one hundred five billion, four hundred fifty million, three hundred fifty-two thousand, two hundred fifteen".