100852263 has 32 divisors (see below), whose sum is σ = 156710400. Its totient is φ = 64102104.

The previous prime is 100852261. The next prime is 100852267. The reversal of 100852263 is 362258001.

It is not a de Polignac number, because 100852263 - 2¹ = 100852261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100852261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328356 + ... + 328662.

It is an arithmetic number, because the mean of its divisors is an integer number (4897200).

Almost surely, 2^100852263 is an apocalyptic number.

100852263 is a deficient number, since it is larger than the sum of its proper divisors (55858137).

100852263 is an frugal number, since it uses more digits than its factorization.

100852263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 100852263 is about 10042.5227408256. The cubic root of 100852263 is about 465.4737731077.

The spelling of 100852263 in words is "one hundred million, eight hundred fifty-two thousand, two hundred sixty-three".