105851844 has 36 divisors (see below), whose sum is σ = 305794944. Its totient is φ = 30243312.

The previous prime is 105851813. The next prime is 105851891. The reversal of 105851844 is 448158501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105851844² = 22409225756400672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105851799 and 105851808.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209772 + ... + 210275.

It is an arithmetic number, because the mean of its divisors is an integer number (8494304).

Almost surely, 2^105851844 is an apocalyptic number.

105851844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105851844 is an abundant number, since it is smaller than the sum of its proper divisors (199943100).

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

105851844 is a wasteful number, since it uses less digits than its factorization.

105851844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420064 (or 420059 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 105851844 is about 10288.4325336759. The cubic root of 105851844 is about 473.0417536783.

The spelling of 105851844 in words is "one hundred five million, eight hundred fifty-one thousand, eight hundred forty-four".