106234262432424 has 160 divisors (see below), whose sum is σ = 340177258048320. Its totient is φ = 30342364003584.

The previous prime is 106234262432411. The next prime is 106234262432447. The reversal of 106234262432424 is 424234262432601.

106234262432424 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 342 + 62 + 4 + 3 + 242 + 4 = 666.

It is a super-2 number, since 2×106234262432424² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106234262432424.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9429307 + ... + 17360309.

It is an arithmetic number, because the mean of its divisors is an integer number (2126107862802).

Almost surely, 2^{106234262432424} is an apocalyptic number.

106234262432424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106234262432424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170088629024160).

106234262432424 is an abundant number, since it is smaller than the sum of its proper divisors (233942995615896).

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

106234262432424 is a wasteful number, since it uses less digits than its factorization.

106234262432424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7933981 (or 7933968 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

The spelling of 106234262432424 in words is "one hundred six trillion, two hundred thirty-four billion, two hundred sixty-two million, four hundred thirty-two thousand, four hundred twenty-four".