10111890 has 64 divisors (see below), whose sum is σ = 25546752. Its totient is φ = 2558400.

The previous prime is 10111879. The next prime is 10111901. The reversal of 10111890 is 9811101.

It is an interprime number because it is at equal distance from previous prime (10111879) and next prime (10111901).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 77125 + ... + 77255.

It is an arithmetic number, because the mean of its divisors is an integer number (399168).

Almost surely, 2^10111890 is an apocalyptic number.

10111890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12773376).

10111890 is an abundant number, since it is smaller than the sum of its proper divisors (15434862).

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

10111890 is a wasteful number, since it uses less digits than its factorization.

10111890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its (nonzero) digits is 72, while the sum is 21.

The square root of 10111890 is about 3179.9198103097. The cubic root of 10111890 is about 216.2440229116.

Adding to 10111890 its reverse (9811101), we get a palindrome (19922991).

The spelling of 10111890 in words is "ten million, one hundred eleven thousand, eight hundred ninety".