100257333 has 12 divisors (see below), whose sum is σ = 146934144. Its totient is φ = 60761800.

The previous prime is 100257331. The next prime is 100257371. The reversal of 100257333 is 333752001.

It is not a de Polignac number, because 100257333 - 2¹ = 100257331 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100257331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137733 + ... + 138458.

It is an arithmetic number, because the mean of its divisors is an integer number (12244512).

Almost surely, 2^100257333 is an apocalyptic number.

It is an amenable number.

100257333 is a deficient number, since it is larger than the sum of its proper divisors (46676811).

100257333 is a wasteful number, since it uses less digits than its factorization.

100257333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276216 (or 276205 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 100257333 is about 10012.8583830992. The cubic root of 100257333 is about 464.5566869893.

The spelling of 100257333 in words is "one hundred million, two hundred fifty-seven thousand, three hundred thirty-three".