105052693898880 has 1536 divisors, whose sum is σ = 450061754688000. Its totient is φ = 21987544006656.

The previous prime is 105052693898863. The next prime is 105052693898881. The reversal of 105052693898880 is 88898396250501.

105052693898880 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 526 + 9 + 3 + 8 + 98 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×105052693898880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 105052693898799 and 105052693898808.

It is not an unprimeable number, because it can be changed into a prime (105052693898881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41375616651 + ... + 41375619189.

It is an arithmetic number, because the mean of its divisors is an integer number (293008954875).

Almost surely, 2^{105052693898880} is an apocalyptic number.

105052693898880 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 105052693898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225030877344000).

105052693898880 is an abundant number, since it is smaller than the sum of its proper divisors (345009060789120).

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

105052693898880 is a wasteful number, since it uses less digits than its factorization.

105052693898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 105052693898880 in words is "one hundred five trillion, fifty-two billion, six hundred ninety-three million, eight hundred ninety-eight thousand, eight hundred eighty".