980100 has 135 divisors (see below), whose sum is σ = 3492181. Its totient is φ = 237600.

The previous prime is 980081. The next prime is 980107. The reversal of 980100 is 1089.

980100 = T₈₇ + T₈₈ + ... + T₁₈₆.

980100 = 1³ + 2³ + ... + 44³.

The square root of 980100 is 990.

It is a perfect power (a square), and thus also a powerful number.

980100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 352836 + 627264 = 594^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is not an unprimeable number, because it can be changed into a prime (980107) by changing a digit.

980100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 89095 + ... + 89105.

2⁹⁸⁰¹⁰⁰ is an apocalyptic number.

980100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

980100 is the 990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980100

980100 is an abundant number, since it is smaller than the sum of its proper divisors (2512081).

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

980100 is a wasteful number, since it uses less digits than its factorization.

980100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 21 counting only the distinct ones).

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

The cubic root of 980100 is about 99.3322172550.

Adding to 980100 its reverse (1089), we get a palindrome (981189).

Multiplying 980100 by its reverse (1089), we get a square (1067328900 = 32670²).

980100 divided by its reverse (1089) gives a square (900 = 30²).

The spelling of 980100 in words is "nine hundred eighty thousand, one hundred".