105202257983424 has 1344 divisors, whose sum is σ = 395655466752000. Its totient is φ = 26755157164032.

The previous prime is 105202257983393. The next prime is 105202257983429. The reversal of 105202257983424 is 424389752202501.

It is a happy number.

105202257983424 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 0 + 22 + 579 + 8 + 3 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×105202257983424² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105202257983429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75198182277 + ... + 75198183675.

It is an arithmetic number, because the mean of its divisors is an integer number (294386508000).

Almost surely, 2^{105202257983424} is an apocalyptic number.

105202257983424 is a gapful number since it is divisible by the number (14) 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 105202257983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197827733376000).

105202257983424 is an abundant number, since it is smaller than the sum of its proper divisors (290453208768576).

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

105202257983424 is a wasteful number, since it uses less digits than its factorization.

105202257983424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 105202257983424 in words is "one hundred five trillion, two hundred two billion, two hundred fifty-seven million, nine hundred eighty-three thousand, four hundred twenty-four".