100393501 has 8 divisors (see below), whose sum is σ = 110156760. Its totient is φ = 90921792.

The previous prime is 100393481. The next prime is 100393523. The reversal of 100393501 is 105393001.

It can be written as a sum of positive squares in 4 ways, for example, as 1887876 + 98505625 = 1374^2 + 9925^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100393501 - 2¹³ = 100385309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100393561) 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 7 ways as a sum of consecutive naturals, for example, 72166 + ... + 73543.

It is an arithmetic number, because the mean of its divisors is an integer number (13769595).

Almost surely, 2^100393501 is an apocalyptic number.

It is an amenable number.

100393501 is a deficient number, since it is larger than the sum of its proper divisors (9763259).

100393501 is a wasteful number, since it uses less digits than its factorization.

100393501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145775.

The product of its (nonzero) digits is 405, while the sum is 22.

The square root of 100393501 is about 10019.6557326088. The cubic root of 100393501 is about 464.7669098098.

The spelling of 100393501 in words is "one hundred million, three hundred ninety-three thousand, five hundred one".