101143890 has 96 divisors (see below), whose sum is σ = 275970240. Its totient is φ = 26650944.

The previous prime is 101143879. The next prime is 101143891. The reversal of 101143890 is 98341101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101143891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259816 + ... + 260204.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 2^101143890 is an apocalyptic number.

101143890 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 101143890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137985120).

101143890 is an abundant number, since it is smaller than the sum of its proper divisors (174826350).

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

101143890 is a wasteful number, since it uses less digits than its factorization.

101143890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101143890 is about 10057.0318682999. The cubic root of 101143890 is about 465.9219999985.

Adding to 101143890 its reverse (98341101), we get a palindrome (199484991).

The spelling of 101143890 in words is "one hundred one million, one hundred forty-three thousand, eight hundred ninety".