258105120 has 384 divisors, whose sum is σ = 1056706560. Its totient is φ = 51425280.

The previous prime is 258105119. The next prime is 258105131. The reversal of 258105120 is 21501852.

258105120 = 1993² + 1994² + ... + 2055².

258105120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829765 + ... + 830075.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^258105120 is an apocalyptic number.

258105120 is a gapful number since it is divisible by the number (20) 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 258105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

258105120 is an abundant number, since it is smaller than the sum of its proper divisors (798601440).

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

258105120 is a wasteful number, since it uses less digits than its factorization.

258105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 258105120 is about 16065.6503136350. The cubic root of 258105120 is about 636.6961247787.

Adding to 258105120 its reverse (21501852), we get a palindrome (279606972).

The spelling of 258105120 in words is "two hundred fifty-eight million, one hundred five thousand, one hundred twenty".