105883888 has 80 divisors (see below), whose sum is σ = 242770176. Its totient is φ = 44190720.

The previous prime is 105883873. The next prime is 105883907. The reversal of 105883888 is 888388501.

It is a super-2 number, since 2×105883888² = 22422795475993088, 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 15 ways as a sum of consecutive naturals, for example, 128245 + ... + 129067.

Almost surely, 2^105883888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105883888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121385088).

105883888 is an abundant number, since it is smaller than the sum of its proper divisors (136886288).

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

105883888 is a wasteful number, since it uses less digits than its factorization.

105883888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 49.

The square root of 105883888 is about 10289.9896987315. The cubic root of 105883888 is about 473.0894827181.

The spelling of 105883888 in words is "one hundred five million, eight hundred eighty-three thousand, eight hundred eighty-eight".