98010 has 60 divisors (see below), whose sum is σ = 289674. Its totient is φ = 23760.

The previous prime is 98009. The next prime is 98011. The reversal of 98010 is 1089.

98010 = 138² + 139² + ... + 142².

It is an interprime number because it is at equal distance from previous prime (98009) and next prime (98011).

It can be written as a sum of positive squares in only one way, i.e., 88209 + 9801 = 297^2 + 99^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (98011) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8905 + ... + 8915.

2⁹⁸⁰¹⁰ is an apocalyptic number.

98010 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 98010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144837).

98010 is an abundant number, since it is smaller than the sum of its proper divisors (191664).

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

98010 is a wasteful number, since it uses less digits than its factorization.

98010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 98010 is about 313.0654883567. The cubic root of 98010 is about 46.1059310429.

98010 divided by its sum of digits (18) gives a palindrome (5445).

Adding to 98010 its reverse (1089), we get a palindrome (99099).

It can be divided in two parts, 980 and 10, that added together give a triangular number (990 = T₄₄).

The spelling of 98010 in words is "ninety-eight thousand, ten".