105133641783040 has 576 divisors, whose sum is σ = 287509483400832. Its totient is φ = 36565784985600.

The previous prime is 105133641783019. The next prime is 105133641783059. The reversal of 105133641783040 is 40387146331501.

It is a happy number.

It is a super-2 number, since 2×105133641783040² (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, 3306801384 + ... + 3306833176.

It is an arithmetic number, because the mean of its divisors is an integer number (499148408682).

Almost surely, 2^{105133641783040} is an apocalyptic number.

105133641783040 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 105133641783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143754741700416).

105133641783040 is an abundant number, since it is smaller than the sum of its proper divisors (182375841617792).

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

105133641783040 is a wasteful number, since it uses less digits than its factorization.

105133641783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32036 (or 32022 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 105133641783040 in words is "one hundred five trillion, one hundred thirty-three billion, six hundred forty-one million, seven hundred eighty-three thousand, forty".