105345223515 has 80 divisors (see below), whose sum is σ = 217955770560. Its totient is φ = 47680876800.

The previous prime is 105345223513. The next prime is 105345223541. The reversal of 105345223515 is 515322543501.

105345223515 is a `hidden beast` number, since 1 + 0 + 534 + 52 + 23 + 51 + 5 = 666.

It is not a de Polignac number, because 105345223515 - 2¹ = 105345223513 is a prime.

It is a super-2 number, since 2×105345223515² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105345223515.

It is not an unprimeable number, because it can be changed into a prime (105345223513) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102381 + ... + 470289.

It is an arithmetic number, because the mean of its divisors is an integer number (2724447132).

Almost surely, 2^105345223515 is an apocalyptic number.

105345223515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105345223515 is an abundant number, since it is smaller than the sum of its proper divisors (112610547045).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105345223515 is a wasteful number, since it uses less digits than its factorization.

105345223515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368034 (or 368025 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 105345223515 in words is "one hundred five billion, three hundred forty-five million, two hundred twenty-three thousand, five hundred fifteen".