259100112 has 80 divisors (see below), whose sum is σ = 721064960. Its totient is φ = 79906176.

The previous prime is 259100099. The next prime is 259100117. The reversal of 259100112 is 211001952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259100117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35913 + ... + 42519.

It is an arithmetic number, because the mean of its divisors is an integer number (9013312).

Almost surely, 2^259100112 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 259100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360532480).

259100112 is an abundant number, since it is smaller than the sum of its proper divisors (461964848).

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

259100112 is a wasteful number, since it uses less digits than its factorization.

259100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6680 (or 6674 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 259100112 is about 16096.5869674288. The cubic root of 259100112 is about 637.5132275610.

The spelling of 259100112 in words is "two hundred fifty-nine million, one hundred thousand, one hundred twelve".