105065826240 has 224 divisors, whose sum is σ = 359873824320. Its totient is φ = 25871712256.

The previous prime is 105065826233. The next prime is 105065826253. The reversal of 105065826240 is 42628560501.

It is a super-2 number, since 2×105065826240² (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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804226 + ... + 925694.

Almost surely, 2^105065826240 is an apocalyptic number.

105065826240 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 105065826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179936912160).

105065826240 is an abundant number, since it is smaller than the sum of its proper divisors (254807998080).

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

105065826240 is a wasteful number, since it uses less digits than its factorization.

105065826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121559 (or 121549 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 105065826240 in words is "one hundred five billion, sixty-five million, eight hundred twenty-six thousand, two hundred forty".