105217566002 has 8 divisors (see below), whose sum is σ = 157846118556. Its totient is φ = 52602193152.

The previous prime is 105217565987. The next prime is 105217566017. The reversal of 105217566002 is 200665712501.

It is an interprime number because it is at equal distance from previous prime (105217565987) and next prime (105217566017).

It can be written as a sum of positive squares in 2 ways, for example, as 88697348041 + 16520217961 = 297821^2 + 128531^2 .

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

It is a super-2 number, since 2×105217566002² (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 3 ways as a sum of consecutive naturals, for example, 3274943 + ... + 3306914.

Almost surely, 2^105217566002 is an apocalyptic number.

105217566002 is a deficient number, since it is larger than the sum of its proper divisors (52628552554).

105217566002 is an equidigital number, since it uses as much as digits as its factorization.

105217566002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589852.

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 105217566002 in words is "one hundred five billion, two hundred seventeen million, five hundred sixty-six thousand, two".