100505857 has 8 divisors (see below), whose sum is σ = 102313640. Its totient is φ = 98703360.

The previous prime is 100505809. The next prime is 100505863. The reversal of 100505857 is 758505001.

It can be written as a sum of positive squares in 4 ways, for example, as 25281 + 100480576 = 159^2 + 10024^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100505857 - 2⁷ = 100505729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100505897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69619 + ... + 71047.

It is an arithmetic number, because the mean of its divisors is an integer number (12789205).

Almost surely, 2^100505857 is an apocalyptic number.

It is an amenable number.

100505857 is a deficient number, since it is larger than the sum of its proper divisors (1807783).

100505857 is a wasteful number, since it uses less digits than its factorization.

100505857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643.

The product of its (nonzero) digits is 7000, while the sum is 31.

The square root of 100505857 is about 10025.2609442348. The cubic root of 100505857 is about 464.9402274116.

The spelling of 100505857 in words is "one hundred million, five hundred five thousand, eight hundred fifty-seven".