101032205 has 8 divisors (see below), whose sum is σ = 121335192. Its totient is φ = 80761408.

The previous prime is 101032171. The next prime is 101032271. The reversal of 101032205 is 502230101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27175369 + 73856836 = 5213^2 + 8594^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101032205 - 2¹⁴ = 101015821 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101032205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494 + ... + 14223.

It is an arithmetic number, because the mean of its divisors is an integer number (15166899).

Almost surely, 2^101032205 is an apocalyptic number.

It is an amenable number.

101032205 is a deficient number, since it is larger than the sum of its proper divisors (20302987).

101032205 is a wasteful number, since it uses less digits than its factorization.

101032205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16095.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 101032205 is about 10051.4777520522. The cubic root of 101032205 is about 465.7504435372.

Adding to 101032205 its reverse (502230101), we get a palindrome (603262306).

The spelling of 101032205 in words is "one hundred one million, thirty-two thousand, two hundred five".