106747064424 has 576 divisors, whose sum is σ = 404685590400. Its totient is φ = 24705838080.

The previous prime is 106747064407. The next prime is 106747064449. The reversal of 106747064424 is 424460747601.

It is a happy number.

It is a super-2 number, since 2×106747064424² (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 106747064424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22988647 + ... + 22993289.

It is an arithmetic number, because the mean of its divisors is an integer number (702579150).

Almost surely, 2^106747064424 is an apocalyptic number.

106747064424 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 106747064424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202342795200).

106747064424 is an abundant number, since it is smaller than the sum of its proper divisors (297938525976).

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

106747064424 is a wasteful number, since it uses less digits than its factorization.

106747064424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 106747064424 in words is "one hundred six billion, seven hundred forty-seven million, sixty-four thousand, four hundred twenty-four".