105116844 has 48 divisors (see below), whose sum is σ = 283707648. Its totient is φ = 29669568.

The previous prime is 105116839. The next prime is 105116867. The reversal of 105116844 is 448611501.

It is a super-2 number, since 2×105116844² = 22099101785040672, 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, 567 + ... + 14510.

It is an arithmetic number, because the mean of its divisors is an integer number (5910576).

Almost surely, 2^105116844 is an apocalyptic number.

105116844 is a gapful number since it is divisible by the number (14) 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 105116844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141853824).

105116844 is an abundant number, since it is smaller than the sum of its proper divisors (178590804).

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

105116844 is a wasteful number, since it uses less digits than its factorization.

105116844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15174 (or 15172 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 105116844 is about 10252.6505841173. The cubic root of 105116844 is about 471.9443281557.

The spelling of 105116844 in words is "one hundred five million, one hundred sixteen thousand, eight hundred forty-four".