102167105 has 8 divisors (see below), whose sum is σ = 123978600. Its totient is φ = 80814976.

The previous prime is 102167099. The next prime is 102167113. The reversal of 102167105 is 501761201.

It can be written as a sum of positive squares in 4 ways, for example, as 2347024 + 99820081 = 1532^2 + 9991^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102167105 - 2⁴ = 102167089 is a prime.

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, 114350 + ... + 115239.

It is an arithmetic number, because the mean of its divisors is an integer number (15497325).

Almost surely, 2^102167105 is an apocalyptic number.

It is an amenable number.

102167105 is a deficient number, since it is larger than the sum of its proper divisors (21811495).

102167105 is an equidigital number, since it uses as much as digits as its factorization.

102167105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229683.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 102167105 is about 10107.7744830403. The cubic root of 102167105 is about 467.4878870531.

The spelling of 102167105 in words is "one hundred two million, one hundred sixty-seven thousand, one hundred five".