100852161 has 16 divisors (see below), whose sum is σ = 137102784. Its totient is φ = 65931264.

The previous prime is 100852159. The next prime is 100852187. The reversal of 100852161 is 161258001.

It is not a de Polignac number, because 100852161 - 2¹ = 100852159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100852151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31350 + ... + 34416.

It is an arithmetic number, because the mean of its divisors is an integer number (8568924).

Almost surely, 2^100852161 is an apocalyptic number.

It is an amenable number.

100852161 is a deficient number, since it is larger than the sum of its proper divisors (36250623).

100852161 is a wasteful number, since it uses less digits than its factorization.

100852161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280.

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 100852161 is about 10042.5176624191. The cubic root of 100852161 is about 465.4736161839.

It can be divided in two parts, 10085 and 2161, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 100852161 in words is "one hundred million, eight hundred fifty-two thousand, one hundred sixty-one".