101424 has 20 divisors (see below), whose sum is σ = 262136. Its totient is φ = 33792.

The previous prime is 101419. The next prime is 101429. The reversal of 101424 is 424101.

Adding to 101424 its reverse (424101), we get a palindrome (525525).

It can be divided in two parts, 1014 and 24, that multiplied together give a square (24336 = 156^{2}).

It is an interprime number because it is at equal distance from previous prime (101419) and next prime (101429).

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2 and base 5.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 101424.

It is not an unprimeable number, because it can be changed into a prime (101429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1009 + ... + 1104.

2^{101424} is an apocalyptic number.

It is an amenable number.

101424 is an abundant number, since it is smaller than the sum of its proper divisors (160712).

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

101424 is a wasteful number, since it uses less digits than its factorization.

101424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 101424 is about 318.4713487898. The cubic root of 101424 is about 46.6351714926.

The spelling of 101424 in words is "one hundred one thousand, four hundred twenty-four", and thus it is an iban number.

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