100285857 has 96 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 51928128.

The previous prime is 100285853. The next prime is 100285879. The reversal of 100285857 is 758582001.

It is not a de Polignac number, because 100285857 - 2² = 100285853 is a prime.

It is a super-2 number, since 2×100285857² = 20114506228448898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100285853) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 937198 + ... + 937304.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^100285857 is an apocalyptic number.

It is an amenable number.

100285857 is a deficient number, since it is larger than the sum of its proper divisors (88411743).

100285857 is a wasteful number, since it uses less digits than its factorization.

100285857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 100285857 is about 10014.2826502950. The cubic root of 100285857 is about 464.6007394892.

The spelling of 100285857 in words is "one hundred million, two hundred eighty-five thousand, eight hundred fifty-seven".