105500520 has 96 divisors (see below), whose sum is σ = 344653920. Its totient is φ = 27987840.

The previous prime is 105500509. The next prime is 105500567. The reversal of 105500520 is 25005501.

It is a super-2 number, since 2×105500520² = 22260719440540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105500493 and 105500502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81075 + ... + 82365.

It is an arithmetic number, because the mean of its divisors is an integer number (3590145).

Almost surely, 2^105500520 is an apocalyptic number.

105500520 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 105500520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172326960).

105500520 is an abundant number, since it is smaller than the sum of its proper divisors (239153400).

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

105500520 is a wasteful number, since it uses less digits than its factorization.

105500520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 105500520 is about 10271.3446052598. The cubic root of 105500520 is about 472.5178291752.

The spelling of 105500520 in words is "one hundred five million, five hundred thousand, five hundred twenty".