105005828753 has 24 divisors (see below), whose sum is σ = 123052687560. Its totient is φ = 89342023680.

The previous prime is 105005828729. The next prime is 105005828813. The reversal of 105005828753 is 357828500501.

It can be written as a sum of positive squares in 4 ways, for example, as 6172930624 + 98832898129 = 78568^2 + 314377^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105005828753 is a prime.

It is a super-2 number, since 2×105005828753² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105005828713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3682013 + ... + 3710421.

It is an arithmetic number, because the mean of its divisors is an integer number (5127195315).

Almost surely, 2^105005828753 is an apocalyptic number.

It is an amenable number.

105005828753 is a deficient number, since it is larger than the sum of its proper divisors (18046858807).

105005828753 is a wasteful number, since it uses less digits than its factorization.

105005828753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28977 (or 28970 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 44.

The spelling of 105005828753 in words is "one hundred five billion, five million, eight hundred twenty-eight thousand, seven hundred fifty-three".