10209888 has 144 divisors (see below), whose sum is σ = 32746896. Its totient is φ = 3110400.

The previous prime is 10209883. The next prime is 10209931. The reversal of 10209888 is 88890201.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10209883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101038 + ... + 101138.

It is an arithmetic number, because the mean of its divisors is an integer number (227409).

Almost surely, 2^10209888 is an apocalyptic number.

10209888 is a gapful number since it is divisible by the number (18) 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 10209888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373448).

10209888 is an abundant number, since it is smaller than the sum of its proper divisors (22537008).

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

10209888 is a wasteful number, since it uses less digits than its factorization.

10209888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 10209888 is about 3195.2915359948. The cubic root of 10209888 is about 216.9403447618.

The spelling of 10209888 in words is "ten million, two hundred nine thousand, eight hundred eighty-eight".