105985431469440 has 512 divisors, whose sum is σ = 376814789769600. Its totient is φ = 28153715392512.

The previous prime is 105985431469429. The next prime is 105985431469451. The reversal of 105985431469440 is 44964134589501.

105985431469440 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 8 + 5 + 43 + 146 + 9 + 440 = 666.

105985431469440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105985431469429) and next prime (105985431469451).

It is a super-2 number, since 2×105985431469440² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18616795234 + ... + 18616800926.

Almost surely, 2^{105985431469440} is an apocalyptic number.

105985431469440 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 105985431469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188407394884800).

105985431469440 is an abundant number, since it is smaller than the sum of its proper divisors (270829358300160).

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

105985431469440 is a wasteful number, since it uses less digits than its factorization.

105985431469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9691 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 105985431469440 in words is "one hundred five trillion, nine hundred eighty-five billion, four hundred thirty-one million, four hundred sixty-nine thousand, four hundred forty".