105550016 has 112 divisors (see below), whose sum is σ = 259445760. Its totient is φ = 41886720.

The previous prime is 105549989. The next prime is 105550037. The reversal of 105550016 is 610055501.

It is a super-2 number, since 2×105550016² = 22281611755200512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105549973 and 105550000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173585 + ... + 174191.

It is an arithmetic number, because the mean of its divisors is an integer number (2316480).

Almost surely, 2^105550016 is an apocalyptic number.

105550016 is a gapful number since it is divisible by the number (16) 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 105550016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129722880).

105550016 is an abundant number, since it is smaller than the sum of its proper divisors (153895744).

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

105550016 is a wasteful number, since it uses less digits than its factorization.

105550016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 105550016 is about 10273.7537443721. The cubic root of 105550016 is about 472.5917121790.

The spelling of 105550016 in words is "one hundred five million, five hundred fifty thousand, sixteen".