100948005 has 16 divisors (see below), whose sum is σ = 179463360. Its totient is φ = 53838864.

The previous prime is 100947991. The next prime is 100948021. The reversal of 100948005 is 500849001.

It is not a de Polignac number, because 100948005 - 2¹⁹ = 100423717 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100948005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373747 + ... + 374016.

It is an arithmetic number, because the mean of its divisors is an integer number (11216460).

Almost surely, 2^100948005 is an apocalyptic number.

100948005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100948005 is a deficient number, since it is larger than the sum of its proper divisors (78515355).

100948005 is an equidigital number, since it uses as much as digits as its factorization.

100948005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747777 (or 747771 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 100948005 is about 10047.2884401713. The cubic root of 100948005 is about 465.6210224725.

The spelling of 100948005 in words is "one hundred million, nine hundred forty-eight thousand, five".