100827963 has 16 divisors (see below), whose sum is σ = 149669760. Its totient is φ = 67085928.

The previous prime is 100827953. The next prime is 100827971. The reversal of 100827963 is 369728001.

It is not a de Polignac number, because 100827963 - 2⁵ = 100827931 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100827953) 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 15 ways as a sum of consecutive naturals, for example, 11356 + ... + 18182.

It is an arithmetic number, because the mean of its divisors is an integer number (9354360).

Almost surely, 2^100827963 is an apocalyptic number.

100827963 is a deficient number, since it is larger than the sum of its proper divisors (48841797).

100827963 is an equidigital number, since it uses as much as digits as its factorization.

100827963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7383 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 100827963 is about 10041.3128125759. The cubic root of 100827963 is about 465.4363853455.

The spelling of 100827963 in words is "one hundred million, eight hundred twenty-seven thousand, nine hundred sixty-three".