258842100 has 72 divisors (see below), whose sum is σ = 817010208. Its totient is φ = 62748800.

The previous prime is 258842063. The next prime is 258842107. The reversal of 258842100 is 1248852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258842107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35919 + ... + 42518.

It is an arithmetic number, because the mean of its divisors is an integer number (11347364).

Almost surely, 2^258842100 is an apocalyptic number.

258842100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258842100 is an abundant number, since it is smaller than the sum of its proper divisors (558168108).

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

258842100 is a wasteful number, since it uses less digits than its factorization.

258842100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78465 (or 78458 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 258842100 is about 16088.5704772052. The cubic root of 258842100 is about 637.3015453014.

The spelling of 258842100 in words is "two hundred fifty-eight million, eight hundred forty-two thousand, one hundred".