100098112 has 28 divisors (see below), whose sum is σ = 200404476. Its totient is φ = 49602560.

The previous prime is 100098107. The next prime is 100098113. The reversal of 100098112 is 211890001.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 87310336 = 3576^2 + 9344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100098113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312 + ... + 14152.

Almost surely, 2^100098112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100202238).

100098112 is an abundant number, since it is smaller than the sum of its proper divisors (100306364).

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

100098112 is a wasteful number, since it uses less digits than its factorization.

100098112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13966 (or 13956 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 100098112 is about 10004.9043973443. The cubic root of 100098112 is about 464.3106322653.

The spelling of 100098112 in words is "one hundred million, ninety-eight thousand, one hundred twelve".