106420365440 has 64 divisors (see below), whose sum is σ = 254797087320. Its totient is φ = 42503577600.

The previous prime is 106420365439. The next prime is 106420365529. The reversal of 106420365440 is 44563024601.

It can be written as a sum of positive squares in 4 ways, for example, as 65425454656 + 40994910784 = 255784^2 + 202472^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106420365440² (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 106420365440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297260 + ... + 548820.

Almost surely, 2^106420365440 is an apocalyptic number.

106420365440 is a gapful number since it is divisible by the number (10) 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 106420365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127398543660).

106420365440 is an abundant number, since it is smaller than the sum of its proper divisors (148376721880).

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

106420365440 is an equidigital number, since it uses as much as digits as its factorization.

106420365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252241 (or 252229 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 106420365440 in words is "one hundred six billion, four hundred twenty million, three hundred sixty-five thousand, four hundred forty".