105785873500 has 24 divisors (see below), whose sum is σ = 231036348816. Its totient is φ = 42314349200.

The previous prime is 105785873491. The next prime is 105785873503. The reversal of 105785873500 is 5378587501.

It is a super-2 number, since 2×105785873500² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105785873503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105785374 + ... + 105786373.

It is an arithmetic number, because the mean of its divisors is an integer number (9626514534).

Almost surely, 2^105785873500 is an apocalyptic number.

105785873500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105785873500 is an abundant number, since it is smaller than the sum of its proper divisors (125250475316).

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

105785873500 is a wasteful number, since it uses less digits than its factorization.

105785873500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211571766 (or 211571754 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 49.

The spelling of 105785873500 in words is "one hundred five billion, seven hundred eighty-five million, eight hundred seventy-three thousand, five hundred".