100573000 has 128 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 35520000.

The previous prime is 100572973. The next prime is 100573007. The reversal of 100573000 is 375001.

It is a super-2 number, since 2×100573000² = 20229856658000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100573007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450889 + ... + 451111.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^100573000 is an apocalyptic number.

100573000 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 100573000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

100573000 is an abundant number, since it is smaller than the sum of its proper divisors (163603640).

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

100573000 is a wasteful number, since it uses less digits than its factorization.

100573000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 100573000 is about 10028.6090760384. The cubic root of 100573000 is about 465.0437389003.

The spelling of 100573000 in words is "one hundred million, five hundred seventy-three thousand".