162105984 has 48 divisors (see below), whose sum is σ = 466480170. Its totient is φ = 54034944.

The previous prime is 162105973. The next prime is 162105989. The reversal of 162105984 is 489501261.

162105984 is a `hidden beast` number, since 1 + 62 + 1 + 0 + 598 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93547584 + 68558400 = 9672^2 + 8280^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×162105984³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (162105989) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69207 + ... + 71510.

Almost surely, 2^162105984 is an apocalyptic number.

It is an amenable number.

162105984 is an abundant number, since it is smaller than the sum of its proper divisors (304374186).

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

162105984 is a wasteful number, since it uses less digits than its factorization.

162105984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140737 (or 140722 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 162105984 is about 12732.0848253536. The cubic root of 162105984 is about 545.2550320016.

The spelling of 162105984 in words is "one hundred sixty-two million, one hundred five thousand, nine hundred eighty-four".