105000520 has 64 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 39494400.

The previous prime is 105000481. The next prime is 105000523. The reversal of 105000520 is 25000501.

It is a super-2 number, since 2×105000520² = 22050218400540800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105000520.

It is not an unprimeable number, because it can be changed into a prime (105000523) 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, 55185 + ... + 57055.

It is an arithmetic number, because the mean of its divisors is an integer number (3917160).

Almost surely, 2^105000520 is an apocalyptic number.

105000520 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 105000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

105000520 is an abundant number, since it is smaller than the sum of its proper divisors (145697720).

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

105000520 is a wasteful number, since it uses less digits than its factorization.

105000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 105000520 is about 10246.9761393301. The cubic root of 105000520 is about 471.7701768243.

The spelling of 105000520 in words is "one hundred five million, five hundred twenty", and thus it is an aban number.