64100 has 18 divisors (see below), whose sum is σ = 139314. Its totient is φ = 25600.

The previous prime is 64091. The next prime is 64109. The reversal of 64100 is 146.

It is an interprime number because it is at equal distance from previous prime (64091) and next prime (64109).

It can be written as a sum of positive squares in 3 ways, for example, as 13924 + 50176 = 118^2 + 224^2 .

It is a sliding number, since 64100 = 1600 + 62500 and 1/1600 + 1/62500 = 0.00064100.

It is a nialpdrome in base 10 and base 16.

It is not an unprimeable number, because it can be changed into a prime (64109) 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, 221 + ... + 420.

2⁶⁴¹⁰⁰ is an apocalyptic number.

It is an amenable number.

64100 is an abundant number, since it is smaller than the sum of its proper divisors (75214).

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

64100 is a wasteful number, since it uses less digits than its factorization.

64100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 64100 is about 253.1797780234. The cubic root of 64100 is about 40.0208224920.

Adding to 64100 its reverse (146), we get a palindrome (64246).

The spelling of 64100 in words is "sixty-four thousand, one hundred".