100505000 has 40 divisors (see below), whose sum is σ = 235494930. Its totient is φ = 40200000.

The previous prime is 100504991. The next prime is 100505011. The reversal of 100505000 is 505001.

It can be written as a sum of positive squares in 5 ways, for example, as 64516 + 100440484 = 254^2 + 10022^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5051 + ... + 15050.

Almost surely, 2^100505000 is an apocalyptic number.

100505000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100505000 is an abundant number, since it is smaller than the sum of its proper divisors (134989930).

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

100505000 is an equidigital number, since it uses as much as digits as its factorization.

100505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20127 (or 20108 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 11.

The square root of 100505000 is about 10025.2182021141. The cubic root of 100505000 is about 464.9389059135.

Subtracting from 100505000 its reverse (505001), we obtain a palindrome (99999999).

The spelling of 100505000 in words is "one hundred million, five hundred five thousand".