105187830520 has 32 divisors (see below), whose sum is σ = 236853817200. Its totient is φ = 42042919168.

The previous prime is 105187830493. The next prime is 105187830529. The reversal of 105187830520 is 25038781501.

It is a super-2 number, since 2×105187830520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105187830529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 953725 + ... + 1058284.

Almost surely, 2^105187830520 is an apocalyptic number.

105187830520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105187830520 is an abundant number, since it is smaller than the sum of its proper divisors (131665986680).

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

105187830520 is a wasteful number, since it uses less digits than its factorization.

105187830520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013327 (or 2013323 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 105187830520 in words is "one hundred five billion, one hundred eighty-seven million, eight hundred thirty thousand, five hundred twenty".