105020760 has 128 divisors (see below), whose sum is σ = 354170880. Its totient is φ = 24718848.

The previous prime is 105020759. The next prime is 105020779. The reversal of 105020760 is 67020501.

It is a super-2 number, since 2×105020760² = 22058720061955200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34417 + ... + 37343.

It is an arithmetic number, because the mean of its divisors is an integer number (2766960).

Almost surely, 2^105020760 is an apocalyptic number.

105020760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105020760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177085440).

105020760 is an abundant number, since it is smaller than the sum of its proper divisors (249150120).

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

105020760 is a wasteful number, since it uses less digits than its factorization.

105020760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 105020760 is about 10247.9637001699. The cubic root of 105020760 is about 471.8004878326.

The spelling of 105020760 in words is "one hundred five million, twenty thousand, seven hundred sixty".