101857873 has 8 divisors (see below), whose sum is σ = 110264168. Its totient is φ = 93533184.

The previous prime is 101857859. The next prime is 101857907. The reversal of 101857873 is 378758101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14379264 + 87478609 = 3792^2 + 9353^2 .

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 101857873 - 2²⁵ = 68303441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101857813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17790 + ... + 22807.

It is an arithmetic number, because the mean of its divisors is an integer number (13783021).

Almost surely, 2^101857873 is an apocalyptic number.

101857873 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101857873 is a deficient number, since it is larger than the sum of its proper divisors (8406295).

101857873 is a wasteful number, since it uses less digits than its factorization.

101857873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40803.

The product of its (nonzero) digits is 47040, while the sum is 40.

The square root of 101857873 is about 10092.4661505501. The cubic root of 101857873 is about 467.0157575609.

The spelling of 101857873 in words is "one hundred one million, eight hundred fifty-seven thousand, eight hundred seventy-three".