106224400431 has 40 divisors (see below), whose sum is σ = 168597063360. Its totient is φ = 66650354496.

The previous prime is 106224400409. The next prime is 106224400493. The reversal of 106224400431 is 134004422601.

It is a happy number.

106224400431 is a `hidden beast` number, since 1 + 0 + 6 + 224 + 4 + 0 + 0 + 431 = 666.

It is not a de Polignac number, because 106224400431 - 2¹¹ = 106224398383 is a prime.

It is a super-2 number, since 2×106224400431² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106224400395 and 106224400404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106224400831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 264490 + ... + 531416.

It is an arithmetic number, because the mean of its divisors is an integer number (4214926584).

Almost surely, 2^106224400431 is an apocalyptic number.

106224400431 is a deficient number, since it is larger than the sum of its proper divisors (62372662929).

106224400431 is an frugal number, since it uses more digits than its factorization.

106224400431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266990 (or 266947 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 106224400431 in words is "one hundred six billion, two hundred twenty-four million, four hundred thousand, four hundred thirty-one".