100273000 has 64 divisors (see below), whose sum is σ = 236293200. Its totient is φ = 39827200.

The previous prime is 100272967. The next prime is 100273001. The reversal of 100273000 is 372001.

It can be written as a sum of positive squares in 8 ways, for example, as 38713284 + 61559716 = 6222^2 + 7846^2 .

It is not an unprimeable number, because it can be changed into a prime (100273001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196746 + ... + 197254.

Almost surely, 2^100273000 is an apocalyptic number.

100273000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100273000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118146600).

100273000 is an abundant number, since it is smaller than the sum of its proper divisors (136020200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100273000 is a wasteful number, since it uses less digits than its factorization.

100273000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 100273000 is about 10013.6406965699. The cubic root of 100273000 is about 464.5808841571.

Subtracting from 100273000 its reverse (372001), we obtain a palindrome (99900999).

The spelling of 100273000 in words is "one hundred million, two hundred seventy-three thousand".