106013946385224 has 160 divisors (see below), whose sum is σ = 322648243948800. Its totient is φ = 32398149882240.

The previous prime is 106013946385219. The next prime is 106013946385247. The reversal of 106013946385224 is 422583649310601.

It is a happy number.

106013946385224 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 1 + 39 + 4 + 6 + 385 + 224 = 666.

It is a super-2 number, since 2×106013946385224² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 138499287 + ... + 139262630.

It is an arithmetic number, because the mean of its divisors is an integer number (2016551524680).

Almost surely, 2^{106013946385224} is an apocalyptic number.

It is an amenable number.

106013946385224 is an abundant number, since it is smaller than the sum of its proper divisors (216634297563576).

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

106013946385224 is a wasteful number, since it uses less digits than its factorization.

106013946385224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277761985 (or 277761972 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 106013946385224 in words is "one hundred six trillion, thirteen billion, nine hundred forty-six million, three hundred eighty-five thousand, two hundred twenty-four".