100205350 has 24 divisors (see below), whose sum is σ = 213008688. Its totient is φ = 34356000.

The previous prime is 100205341. The next prime is 100205359. The reversal of 100205350 is 53502001.

It is an interprime number because it is at equal distance from previous prime (100205341) and next prime (100205359).

It is a super-2 number, since 2×100205350² = 20082224337245000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100205359) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 142801 + ... + 143500.

It is an arithmetic number, because the mean of its divisors is an integer number (8875362).

Almost surely, 2^100205350 is an apocalyptic number.

100205350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100205350 is an abundant number, since it is smaller than the sum of its proper divisors (112803338).

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

100205350 is a wasteful number, since it uses less digits than its factorization.

100205350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286320 (or 286315 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 100205350 is about 10010.2622343273. The cubic root of 100205350 is about 464.4763828876.

Adding to 100205350 its reverse (53502001), we get a palindrome (153707351).

The spelling of 100205350 in words is "one hundred million, two hundred five thousand, three hundred fifty".