105500016 has 80 divisors (see below), whose sum is σ = 305893120. Its totient is φ = 34810560.

The previous prime is 105499993. The next prime is 105500023. The reversal of 105500016 is 610005501.

It is a super-2 number, since 2×105500016² = 22260506752000512, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 43311 + ... + 45681.

It is an arithmetic number, because the mean of its divisors is an integer number (3823664).

Almost surely, 2^105500016 is an apocalyptic number.

105500016 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 105500016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152946560).

105500016 is an abundant number, since it is smaller than the sum of its proper divisors (200393104).

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

105500016 is a wasteful number, since it uses less digits than its factorization.

105500016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105500016 is about 10271.3200709549. The cubic root of 105500016 is about 472.5170767323.

Adding to 105500016 its reverse (610005501), we get a palindrome (715505517).

The spelling of 105500016 in words is "one hundred five million, five hundred thousand, sixteen".