10098900 has 162 divisors, whose sum is σ = 36983310. Its totient is φ = 2298240.

The previous prime is 10098883. The next prime is 10098911. The reversal of 10098900 is 989001.

It can be written as a sum of positive squares in 3 ways, for example, as 2414916 + 7683984 = 1554^2 + 2772^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 43986 + ... + 44214.

Almost surely, 2^10098900 is an apocalyptic number.

10098900 is a gapful number since it is divisible by the number (10) 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 10098900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18491655).

10098900 is an abundant number, since it is smaller than the sum of its proper divisors (26884410).

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

10098900 is a wasteful number, since it uses less digits than its factorization.

10098900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 10098900 is about 3177.8766495885. The cubic root of 10098900 is about 216.1513856447.

The spelling of 10098900 in words is "ten million, ninety-eight thousand, nine hundred".