100205506 has 16 divisors (see below), whose sum is σ = 158414400. Its totient is φ = 47407248.

The previous prime is 100205473. The next prime is 100205537. The reversal of 100205506 is 605502001.

It is a happy number.

It is a super-2 number, since 2×100205506² = 20082286865432072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57780 + ... + 59488.

It is an arithmetic number, because the mean of its divisors is an integer number (9900900).

Almost surely, 2^100205506 is an apocalyptic number.

100205506 is a deficient number, since it is larger than the sum of its proper divisors (58208894).

100205506 is a wasteful number, since it uses less digits than its factorization.

100205506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 100205506 is about 10010.2700263280. The cubic root of 100205506 is about 464.4766239202.

Adding to 100205506 its reverse (605502001), we get a palindrome (705707507).

The spelling of 100205506 in words is "one hundred million, two hundred five thousand, five hundred six".