105675241440 has 192 divisors, whose sum is σ = 343250804736. Its totient is φ = 27314706432.

The previous prime is 105675241417. The next prime is 105675241457. The reversal of 105675241440 is 44142576501.

It is a super-2 number, since 2×105675241440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2086497 + ... + 2136543.

It is an arithmetic number, because the mean of its divisors is an integer number (1787764608).

Almost surely, 2^105675241440 is an apocalyptic number.

105675241440 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 105675241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171625402368).

105675241440 is an abundant number, since it is smaller than the sum of its proper divisors (237575563296).

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

105675241440 is a wasteful number, since it uses less digits than its factorization.

105675241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50201 (or 50193 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 105675241440 in words is "one hundred five billion, six hundred seventy-five million, two hundred forty-one thousand, four hundred forty".