105616820 has 48 divisors (see below), whose sum is σ = 239198400. Its totient is φ = 39041280.

The previous prime is 105616789. The next prime is 105616829. The reversal of 105616820 is 28616501.

It is a happy number.

It is a super-2 number, since 2×105616820² = 22309825333824800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105616829) 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, 12191 + ... + 18969.

It is an arithmetic number, because the mean of its divisors is an integer number (4983300).

Almost surely, 2^105616820 is an apocalyptic number.

105616820 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 105616820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119599200).

105616820 is an abundant number, since it is smaller than the sum of its proper divisors (133581580).

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

105616820 is a wasteful number, since it uses less digits than its factorization.

105616820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6848 (or 6846 counting only the distinct ones).

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

The square root of 105616820 is about 10277.0044273611. The cubic root of 105616820 is about 472.6913943319.

The spelling of 105616820 in words is "one hundred five million, six hundred sixteen thousand, eight hundred twenty".