100052823 has 16 divisors (see below), whose sum is σ = 144556160. Its totient is φ = 61189344.

The previous prime is 100052819. The next prime is 100052857. The reversal of 100052823 is 328250001.

It is not a de Polignac number, because 100052823 - 2² = 100052819 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 100052823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100052863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1513 + ... + 14226.

It is an arithmetic number, because the mean of its divisors is an integer number (9034760).

Almost surely, 2^100052823 is an apocalyptic number.

100052823 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100052823 is a deficient number, since it is larger than the sum of its proper divisors (44503337).

100052823 is a wasteful number, since it uses less digits than its factorization.

100052823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15918.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 100052823 is about 10002.6408013084. The cubic root of 100052823 is about 464.2405965242.

The spelling of 100052823 in words is "one hundred million, fifty-two thousand, eight hundred twenty-three".