10141890 has 64 divisors (see below), whose sum is σ = 26980992. Its totient is φ = 2419200.

The previous prime is 10141849. The next prime is 10141891. The reversal of 10141890 is 9814101.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10141890.

It is not an unprimeable number, because it can be changed into a prime (10141891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23880 + ... + 24300.

It is an arithmetic number, because the mean of its divisors is an integer number (421578).

Almost surely, 2^10141890 is an apocalyptic number.

10141890 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 10141890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13490496).

10141890 is an abundant number, since it is smaller than the sum of its proper divisors (16839102).

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

10141890 is a wasteful number, since it uses less digits than its factorization.

10141890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515.

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 10141890 is about 3184.6334168943. The cubic root of 10141890 is about 216.4576630160.

Adding to 10141890 its reverse (9814101), we get a palindrome (19955991).

The spelling of 10141890 in words is "ten million, one hundred forty-one thousand, eight hundred ninety".