100285973 has 8 divisors (see below), whose sum is σ = 103855800. Its totient is φ = 96723648.

The previous prime is 100285951. The next prime is 100286027. The reversal of 100285973 is 379582001.

It can be written as a sum of positive squares in 4 ways, for example, as 48762289 + 51523684 = 6983^2 + 7178^2 .

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 100285973 - 2⁶ = 100285909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100285903) 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, 50915 + ... + 52847.

It is an arithmetic number, because the mean of its divisors is an integer number (12981975).

Almost surely, 2^100285973 is an apocalyptic number.

It is an amenable number.

100285973 is a deficient number, since it is larger than the sum of its proper divisors (3569827).

100285973 is a wasteful number, since it uses less digits than its factorization.

100285973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 100285973 is about 10014.2884420212. The cubic root of 100285973 is about 464.6009186227.

The spelling of 100285973 in words is "one hundred million, two hundred eighty-five thousand, nine hundred seventy-three".