101006424 has 48 divisors (see below), whose sum is σ = 274201200. Its totient is φ = 33589824.

The previous prime is 101006417. The next prime is 101006429. The reversal of 101006424 is 424600101.

101006424 is a `hidden beast` number, since 10 + 10 + 0 + 642 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101006397 and 101006406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101006429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34822 + ... + 37610.

It is an arithmetic number, because the mean of its divisors is an integer number (5712525).

Almost surely, 2^101006424 is an apocalyptic number.

It is an amenable number.

101006424 is an abundant number, since it is smaller than the sum of its proper divisors (173194776).

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

101006424 is a wasteful number, since it uses less digits than its factorization.

101006424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101006424 is about 10050.1952219845. The cubic root of 101006424 is about 465.7108240460.

Adding to 101006424 its reverse (424600101), we get a palindrome (525606525).

The spelling of 101006424 in words is "one hundred one million, six thousand, four hundred twenty-four".