100172205 has 24 divisors (see below), whose sum is σ = 198436992. Its totient is φ = 45792864.

The previous prime is 100172203. The next prime is 100172249. The reversal of 100172205 is 502271001.

It is not a de Polignac number, because 100172205 - 2¹ = 100172203 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100172203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158689 + ... + 159318.

It is an arithmetic number, because the mean of its divisors is an integer number (8268208).

Almost surely, 2^100172205 is an apocalyptic number.

100172205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100172205 is a deficient number, since it is larger than the sum of its proper divisors (98264787).

100172205 is a wasteful number, since it uses less digits than its factorization.

100172205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318025 (or 318022 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 100172205 is about 10008.6065463680. The cubic root of 100172205 is about 464.4251655044.

It can be divided in two parts, 10017220 and 5, that added together give a square (10017225 = 3165²).

The spelling of 100172205 in words is "one hundred million, one hundred seventy-two thousand, two hundred five".