105105075785250 has 32 divisors (see below), whose sum is σ = 262342269161856. Its totient is φ = 28028020209200.

The previous prime is 105105075785233. The next prime is 105105075785257. The reversal of 105105075785250 is 52587570501501.

It is a happy number.

It is a super-2 number, since 2×105105075785250² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105105075785193 and 105105075785202.

It is not an unprimeable number, because it can be changed into a prime (105105075785257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70070049774 + ... + 70070051273.

It is an arithmetic number, because the mean of its divisors is an integer number (8198195911308).

Almost surely, 2^{105105075785250} is an apocalyptic number.

105105075785250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105105075785250 is an abundant number, since it is smaller than the sum of its proper divisors (157237193376606).

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

105105075785250 is a wasteful number, since it uses less digits than its factorization.

105105075785250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140140101067 (or 140140101057 counting only the distinct ones).

The product of its (nonzero) digits is 2450000, while the sum is 51.

The spelling of 105105075785250 in words is "one hundred five trillion, one hundred five billion, seventy-five million, seven hundred eighty-five thousand, two hundred fifty".