258198100 has 36 divisors (see below), whose sum is σ = 560991004. Its totient is φ = 103150080.

The previous prime is 258198089. The next prime is 258198131. The reversal of 258198100 is 1891852.

It can be written as a sum of positive squares in 6 ways, for example, as 7862416 + 250335684 = 2804^2 + 15822^2 .

It is a super-2 number, since 2×258198100² = 133332517687220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144412 + ... + 146188.

Almost surely, 2^258198100 is an apocalyptic number.

258198100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258198100 is an abundant number, since it is smaller than the sum of its proper divisors (302792904).

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

258198100 is a wasteful number, since it uses less digits than its factorization.

258198100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 258198100 is about 16068.5438045891. The cubic root of 258198100 is about 636.7725702445.

The spelling of 258198100 in words is "two hundred fifty-eight million, one hundred ninety-eight thousand, one hundred".