105206816 has 96 divisors (see below), whose sum is σ = 247157568. Its totient is φ = 43453440.

The previous prime is 105206753. The next prime is 105206837. The reversal of 105206816 is 618602501.

It is a happy number.

It is a super-2 number, since 2×105206816² = 22136948265715712, which contains 22 as substring.

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, 379670 + ... + 379946.

It is an arithmetic number, because the mean of its divisors is an integer number (2574558).

Almost surely, 2^105206816 is an apocalyptic number.

105206816 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 105206816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123578784).

105206816 is an abundant number, since it is smaller than the sum of its proper divisors (141950752).

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

105206816 is a wasteful number, since it uses less digits than its factorization.

105206816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 105206816 is about 10257.0373890320. The cubic root of 105206816 is about 472.0789392055.

The spelling of 105206816 in words is "one hundred five million, two hundred six thousand, eight hundred sixteen".