258542100 has 54 divisors (see below), whose sum is σ = 810388670. Its totient is φ = 68944320.

The previous prime is 258542083. The next prime is 258542111. The reversal of 258542100 is 1245852.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3437316 + 255104784 = 1854^2 + 15972^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 142735 + ... + 144534.

Almost surely, 2^258542100 is an apocalyptic number.

258542100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258542100 is an abundant number, since it is smaller than the sum of its proper divisors (551846570).

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

258542100 is a wasteful number, since it uses less digits than its factorization.

258542100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287289 (or 287279 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 258542100 is about 16079.2443852315. The cubic root of 258542100 is about 637.0552376426.

Adding to 258542100 its reverse (1245852), we get a palindrome (259787952).

The spelling of 258542100 in words is "two hundred fifty-eight million, five hundred forty-two thousand, one hundred".