106413224520 has 64 divisors (see below), whose sum is σ = 326032024320. Its totient is φ = 27773095424.

The previous prime is 106413224507. The next prime is 106413224527. The reversal of 106413224520 is 25422314601.

It is a super-2 number, since 2×106413224520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106413224527) 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 15 ways as a sum of consecutive naturals, for example, 9428157 + ... + 9439436.

It is an arithmetic number, because the mean of its divisors is an integer number (5094250380).

Almost surely, 2^106413224520 is an apocalyptic number.

106413224520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106413224520 is an abundant number, since it is smaller than the sum of its proper divisors (219618799800).

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

106413224520 is a wasteful number, since it uses less digits than its factorization.

106413224520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18867654 (or 18867650 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 106413224520 in words is "one hundred six billion, four hundred thirteen million, two hundred twenty-four thousand, five hundred twenty".