105406663345 has 8 divisors (see below), whose sum is σ = 126499677480. Its totient is φ = 84317543040.

The previous prime is 105406663279. The next prime is 105406663367. The reversal of 105406663345 is 543366604501.

It can be written as a sum of positive squares in 4 ways, for example, as 5824131856 + 99582531489 = 76316^2 + 315567^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105406663345 - 2⁹ = 105406662833 is a prime.

It is a super-2 number, since 2×105406663345² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 913566 + ... + 1022455.

It is an arithmetic number, because the mean of its divisors is an integer number (15812459685).

Almost surely, 2^105406663345 is an apocalyptic number.

It is an amenable number.

105406663345 is a deficient number, since it is larger than the sum of its proper divisors (21093014135).

105406663345 is a wasteful number, since it uses less digits than its factorization.

105406663345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946915.

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 105406663345 in words is "one hundred five billion, four hundred six million, six hundred sixty-three thousand, three hundred forty-five".