105884884 has 36 divisors (see below), whose sum is σ = 219639924. Its totient is φ = 44518656.

The previous prime is 105884879. The next prime is 105884903. The reversal of 105884884 is 488488501.

It can be written as a sum of positive squares in 2 ways, for example, as 76073284 + 29811600 = 8722^2 + 5460^2 .

It is a super-2 number, since 2×105884884² = 22423217319386912, which contains 22 as substring.

It is a congruent number.

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, 5292 + ... + 15484.

It is an arithmetic number, because the mean of its divisors is an integer number (6101109).

Almost surely, 2^105884884 is an apocalyptic number.

105884884 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 105884884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109819962).

105884884 is an abundant number, since it is smaller than the sum of its proper divisors (113755040).

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

105884884 is a wasteful number, since it uses less digits than its factorization.

105884884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10264 (or 10255 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 46.

The square root of 105884884 is about 10290.0380951676. The cubic root of 105884884 is about 473.0909660903.

The spelling of 105884884 in words is "one hundred five million, eight hundred eighty-four thousand, eight hundred eighty-four".