980630100 has 108 divisors (see below), whose sum is σ = 3082732380. Its totient is φ = 260736000.

The previous prime is 980630059. The next prime is 980630107. The reversal of 980630100 is 1036089.

It can be written as a sum of positive squares in 6 ways, for example, as 72692676 + 907937424 = 8526^2 + 30132^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980630107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348700 + ... + 351500.

Almost surely, 2^980630100 is an apocalyptic number.

980630100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980630100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541366190).

980630100 is an abundant number, since it is smaller than the sum of its proper divisors (2102102280).

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

980630100 is a wasteful number, since it uses less digits than its factorization.

980630100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 980630100 is about 31315.0139709373. The cubic root of 980630100 is about 993.5012240680.

Adding to 980630100 its reverse (1036089), we get a palindrome (981666189).

The spelling of 980630100 in words is "nine hundred eighty million, six hundred thirty thousand, one hundred".