105909888 has 192 divisors, whose sum is σ = 340320960. Its totient is φ = 28569600.

The previous prime is 105909887. The next prime is 105909889. The reversal of 105909888 is 888909501.

It is an interprime number because it is at equal distance from previous prime (105909887) and next prime (105909889).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105909888² = 22433808752345088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (105909887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2583148 + ... + 2583188.

It is an arithmetic number, because the mean of its divisors is an integer number (1772505).

Almost surely, 2^105909888 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 105909888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170160480).

105909888 is an abundant number, since it is smaller than the sum of its proper divisors (234411072).

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

105909888 is an equidigital number, since it uses as much as digits as its factorization.

105909888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 48.

The square root of 105909888 is about 10291.2529849382. The cubic root of 105909888 is about 473.1282022379.

The spelling of 105909888 in words is "one hundred five million, nine hundred nine thousand, eight hundred eighty-eight".