106125463224 has 240 divisors, whose sum is σ = 343929940200. Its totient is φ = 30466212480.

The previous prime is 106125463217. The next prime is 106125463229. The reversal of 106125463224 is 422364521601.

106125463224 is a `hidden beast` number, since 1 + 0 + 6 + 12 + 5 + 4 + 632 + 2 + 4 = 666.

It is a super-2 number, since 2×106125463224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106125463229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1454134 + ... + 1525370.

Almost surely, 2^106125463224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106125463224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171964970100).

106125463224 is an abundant number, since it is smaller than the sum of its proper divisors (237804476976).

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

106125463224 is a wasteful number, since it uses less digits than its factorization.

106125463224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71296 (or 71272 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 106125463224 its reverse (422364521601), we get a palindrome (528489984825).

The spelling of 106125463224 in words is "one hundred six billion, one hundred twenty-five million, four hundred sixty-three thousand, two hundred twenty-four".