105016660500 has 48 divisors (see below), whose sum is σ = 305808519744. Its totient is φ = 28004442400.

The previous prime is 105016660447. The next prime is 105016660501. The reversal of 105016660500 is 5066610501.

It is a super-2 number, since 2×105016660500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105016660501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35004054 + ... + 35007053.

It is an arithmetic number, because the mean of its divisors is an integer number (6371010828).

Almost surely, 2^105016660500 is an apocalyptic number.

105016660500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105016660500 is an abundant number, since it is smaller than the sum of its proper divisors (200791859244).

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

105016660500 is a wasteful number, since it uses less digits than its factorization.

105016660500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70011129 (or 70011117 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 105016660500 in words is "one hundred five billion, sixteen million, six hundred sixty thousand, five hundred".