10598112 has 108 divisors (see below), whose sum is σ = 35105616. Its totient is φ = 3024000.

The previous prime is 10598069. The next prime is 10598113. The reversal of 10598112 is 21189501.

It is a super-2 number, since 2×10598112² = 224639955929088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10598113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13737 + ... + 14487.

It is an arithmetic number, because the mean of its divisors is an integer number (325052).

Almost surely, 2^10598112 is an apocalyptic number.

10598112 is a gapful number since it is divisible by the number (12) 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 10598112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552808).

10598112 is an abundant number, since it is smaller than the sum of its proper divisors (24507504).

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

10598112 is a wasteful number, since it uses less digits than its factorization.

10598112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 10598112 is about 3255.4741590128. The cubic root of 10598112 is about 219.6558807495.

The spelling of 10598112 in words is "ten million, five hundred ninety-eight thousand, one hundred twelve".