101664000 has 216 divisors, whose sum is σ = 366853032. Its totient is φ = 27033600.

The previous prime is 101663999. The next prime is 101664007. The reversal of 101664000 is 466101.

101664000 is a `hidden beast` number, since 1 + 0 + 1 + 664 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 94945536 = 2592^2 + 9744^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101664007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287824 + ... + 288176.

Almost surely, 2^101664000 is an apocalyptic number.

101664000 is a gapful number since it is divisible by the number (10) 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 101664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183426516).

101664000 is an abundant number, since it is smaller than the sum of its proper divisors (265189032).

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

101664000 is an equidigital number, since it uses as much as digits as its factorization.

101664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101664000 is about 10082.8567380480. The cubic root of 101664000 is about 466.7192684470.

The spelling of 101664000 in words is "one hundred one million, six hundred sixty-four thousand".