101464 has 16 divisors (see below), whose sum is σ = 207720. Its totient is φ = 46080.

The previous prime is 101449. The next prime is 101467. The reversal of 101464 is 464101.

101464 = 72² + 73² + ... + 87².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101467) 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 in 3 ways as a sum of consecutive naturals, for example, 489 + ... + 664.

2¹⁰¹⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

101464 is an abundant number, since it is smaller than the sum of its proper divisors (106256).

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

101464 is a wasteful number, since it uses less digits than its factorization.

101464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 101464 is about 318.5341425970. The cubic root of 101464 is about 46.6413014082.

Adding to 101464 its reverse (464101), we get a palindrome (565565).

It can be divided in two parts, 101 and 464, that multiplied together give a palindrome (46864).

The spelling of 101464 in words is "one hundred one thousand, four hundred sixty-four".