105785535503500 has 48 divisors (see below), whose sum is σ = 231047275560192. Its totient is φ = 42312077568000.

The previous prime is 105785535503467. The next prime is 105785535503503. The reversal of 105785535503500 is 5305535587501.

It is a super-2 number, since 2×105785535503500² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105785535503503) 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, 4588837 + ... + 15252163.

It is an arithmetic number, because the mean of its divisors is an integer number (4813484907504).

Almost surely, 2^{105785535503500} is an apocalyptic number.

105785535503500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105785535503500 is an abundant number, since it is smaller than the sum of its proper divisors (125261740056692).

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

105785535503500 is a wasteful number, since it uses less digits than its factorization.

105785535503500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10683187 (or 10683175 counting only the distinct ones).

The product of its (nonzero) digits is 7875000, while the sum is 52.

The spelling of 105785535503500 in words is "one hundred five trillion, seven hundred eighty-five billion, five hundred thirty-five million, five hundred three thousand, five hundred".