105485131785 has 32 divisors (see below), whose sum is σ = 184182703488. Its totient is φ = 51126750720.

The previous prime is 105485131783. The next prime is 105485131793. The reversal of 105485131785 is 587131584501.

It is a happy number.

It is not a de Polignac number, because 105485131785 - 2¹ = 105485131783 is a prime.

It is a super-2 number, since 2×105485131785² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105485131783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378999 + ... + 595491.

It is an arithmetic number, because the mean of its divisors is an integer number (5755709484).

Almost surely, 2^105485131785 is an apocalyptic number.

105485131785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105485131785 is a deficient number, since it is larger than the sum of its proper divisors (78697571703).

105485131785 is a wasteful number, since it uses less digits than its factorization.

105485131785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219465.

The product of its (nonzero) digits is 672000, while the sum is 48.

The spelling of 105485131785 in words is "one hundred five billion, four hundred eighty-five million, one hundred thirty-one thousand, seven hundred eighty-five".