100248405 has 32 divisors (see below), whose sum is σ = 171186048. Its totient is φ = 49920000.

The previous prime is 100248391. The next prime is 100248409. The reversal of 100248405 is 504842001.

It is not a de Polignac number, because 100248405 - 2⁷ = 100248277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100248409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31905 + ... + 34905.

It is an arithmetic number, because the mean of its divisors is an integer number (5349564).

Almost surely, 2^100248405 is an apocalyptic number.

100248405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100248405 is a deficient number, since it is larger than the sum of its proper divisors (70937643).

100248405 is a wasteful number, since it uses less digits than its factorization.

100248405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157.

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 100248405 is about 10012.4125464346. The cubic root of 100248405 is about 464.5428968584.

The spelling of 100248405 in words is "one hundred million, two hundred forty-eight thousand, four hundred five".