10098816 has 192 divisors, whose sum is σ = 35071680. Its totient is φ = 2506752.

The previous prime is 10098793. The next prime is 10098821. The reversal of 10098816 is 61889001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594040 + ... + 594056.

It is an arithmetic number, because the mean of its divisors is an integer number (182665).

Almost surely, 2^10098816 is an apocalyptic number.

10098816 is a gapful number since it is divisible by the number (16) 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 10098816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17535840).

10098816 is an abundant number, since it is smaller than the sum of its proper divisors (24972864).

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

10098816 is a wasteful number, since it uses less digits than its factorization.

10098816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 10098816 is about 3177.8634331890. The cubic root of 10098816 is about 216.1507863462.

The spelling of 10098816 in words is "ten million, ninety-eight thousand, eight hundred sixteen".