106368560424 has 160 divisors (see below), whose sum is σ = 340647912000. Its totient is φ = 30377099520.

The previous prime is 106368560411. The next prime is 106368560429. The reversal of 106368560424 is 424065863601.

106368560424 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 68 + 560 + 4 + 24 = 666.

It is a super-2 number, since 2×106368560424² (a number of 23 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 106368560424.

It is not an unprimeable number, because it can be changed into a prime (106368560429) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13826419 + ... + 13834109.

It is an arithmetic number, because the mean of its divisors is an integer number (2129049450).

Almost surely, 2^106368560424 is an apocalyptic number.

106368560424 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 106368560424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170323956000).

106368560424 is an abundant number, since it is smaller than the sum of its proper divisors (234279351576).

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

106368560424 is a wasteful number, since it uses less digits than its factorization.

106368560424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10765 (or 10752 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 106368560424 in words is "one hundred six billion, three hundred sixty-eight million, five hundred sixty thousand, four hundred twenty-four".