106366113440 has 24 divisors (see below), whose sum is σ = 251289943380. Its totient is φ = 42546445312.

The previous prime is 106366113361. The next prime is 106366113457. The reversal of 106366113440 is 44311663601.

It can be written as a sum of positive squares in 2 ways, for example, as 104481511696 + 1884601744 = 323236^2 + 43412^2 .

It is a super-2 number, since 2×106366113440² (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 106366113440.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 332393945 + ... + 332394264.

Almost surely, 2^106366113440 is an apocalyptic number.

106366113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106366113440 is an abundant number, since it is smaller than the sum of its proper divisors (144923829940).

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

106366113440 is an equidigital number, since it uses as much as digits as its factorization.

106366113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664788224 (or 664788216 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 106366113440 in words is "one hundred six billion, three hundred sixty-six million, one hundred thirteen thousand, four hundred forty".