268258100 has 36 divisors (see below), whose sum is σ = 635042688. Its totient is φ = 97548000.

The previous prime is 268258087. The next prime is 268258127. The reversal of 268258100 is 1852862.

It is a super-2 number, since 2×268258100² = 143924816431220000, 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, 120836 + ... + 123035.

Almost surely, 2^268258100 is an apocalyptic number.

268258100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268258100 is an abundant number, since it is smaller than the sum of its proper divisors (366784588).

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

268258100 is a wasteful number, since it uses less digits than its factorization.

268258100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243896 (or 243889 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 268258100 is about 16378.5866301094. The cubic root of 268258100 is about 644.9374776646.

The spelling of 268258100 in words is "two hundred sixty-eight million, two hundred fifty-eight thousand, one hundred".