164106972 has 60 divisors (see below), whose sum is σ = 430215016. Its totient is φ = 54548640.

The previous prime is 164106953. The next prime is 164106977. The reversal of 164106972 is 279601461.

164106972 is a `hidden beast` number, since 1 + 641 + 0 + 6 + 9 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164106977) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 223518 + ... + 224250.

Almost surely, 2^164106972 is an apocalyptic number.

164106972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164106972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215107508).

164106972 is an abundant number, since it is smaller than the sum of its proper divisors (266108044).

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

164106972 is a wasteful number, since it uses less digits than its factorization.

164106972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 164106972 is about 12810.4243489433. The cubic root of 164106972 is about 547.4893523919.

The spelling of 164106972 in words is "one hundred sixty-four million, one hundred six thousand, nine hundred seventy-two".