101664256 has 80 divisors (see below), whose sum is σ = 216548640. Its totient is φ = 47595520.

The previous prime is 101664239. The next prime is 101664313. The reversal of 101664256 is 652466101.

It is a congruent number.

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, 608685 + ... + 608851.

It is an arithmetic number, because the mean of its divisors is an integer number (2706858).

Almost surely, 2^101664256 is an apocalyptic number.

101664256 is a gapful number since it is divisible by the number (16) 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 101664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108274320).

101664256 is an abundant number, since it is smaller than the sum of its proper divisors (114884384).

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

101664256 is an equidigital number, since it uses as much as digits as its factorization.

101664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

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

The square root of 101664256 is about 10082.8694328549. The cubic root of 101664256 is about 466.7196601951.

The spelling of 101664256 in words is "one hundred one million, six hundred sixty-four thousand, two hundred fifty-six".