101264 has 10 divisors (see below), whose sum is σ = 196230. Its totient is φ = 50624.

The previous prime is 101221. The next prime is 101267. The reversal of 101264 is 462101.

It can be written as a sum of positive squares in only one way, i.e., 94864 + 6400 = 308^2 + 80^2 .

It is not an unprimeable number, because it can be changed into a prime (101267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3149 + ... + 3180.

It is an arithmetic number, because the mean of its divisors is an integer number (19623).

2¹⁰¹²⁶⁴ is an apocalyptic number.

It is an amenable number.

101264 is a deficient number, since it is larger than the sum of its proper divisors (94966).

101264 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 7 representation: 101264 = (601142)₇.

101264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 101264 is about 318.2200496512. The cubic root of 101264 is about 46.6106357004.

Adding to 101264 its reverse (462101), we get a palindrome (563365).

It can be divided in two parts, 10126 and 4, that multiplied together give a palindrome (40504).

The spelling of 101264 in words is "one hundred one thousand, two hundred sixty-four".