162105664 has 28 divisors (see below), whose sum is σ = 367633504. Its totient is φ = 69473664.

The previous prime is 162105637. The next prime is 162105667. The reversal of 162105664 is 466501261.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162105667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180474 + ... + 181369.

It is an arithmetic number, because the mean of its divisors is an integer number (13129768).

Almost surely, 2^162105664 is an apocalyptic number.

162105664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

162105664 is an abundant number, since it is smaller than the sum of its proper divisors (205527840).

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

162105664 is an equidigital number, since it uses as much as digits as its factorization.

162105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361862 (or 361852 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 162105664 is about 12732.0722586702. The cubic root of 162105664 is about 545.2546732205.

The spelling of 162105664 in words is "one hundred sixty-two million, one hundred five thousand, six hundred sixty-four".