105284765120 has 28 divisors (see below), whose sum is σ = 250709347704. Its totient is φ = 42113905920.

The previous prime is 105284765111. The next prime is 105284765129. The reversal of 105284765120 is 21567482501.

It is an interprime number because it is at equal distance from previous prime (105284765111) and next prime (105284765129).

It is a super-2 number, since 2×105284765120² (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 (105284765129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164507126 + ... + 164507765.

Almost surely, 2^105284765120 is an apocalyptic number.

105284765120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105284765120 is an abundant number, since it is smaller than the sum of its proper divisors (145424582584).

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

105284765120 is an equidigital number, since it uses as much as digits as its factorization.

105284765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329014908 (or 329014898 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The spelling of 105284765120 in words is "one hundred five billion, two hundred eighty-four million, seven hundred sixty-five thousand, one hundred twenty".