100491975 has 48 divisors (see below), whose sum is σ = 188157600. Its totient is φ = 52584480.

The previous prime is 100491973. The next prime is 100491977. The reversal of 100491975 is 579194001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (100491973) and next prime (100491977).

It is not a de Polignac number, because 100491975 - 2¹ = 100491973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100491971) 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 47 ways as a sum of consecutive naturals, for example, 1896049 + ... + 1896101.

It is an arithmetic number, because the mean of its divisors is an integer number (3919950).

Almost surely, 2^100491975 is an apocalyptic number.

100491975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100491975 is a deficient number, since it is larger than the sum of its proper divisors (87665625).

100491975 is an frugal number, since it uses more digits than its factorization.

100491975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 100491975 is about 10024.5685692702. The cubic root of 100491975 is about 464.9188203758.

The spelling of 100491975 in words is "one hundred million, four hundred ninety-one thousand, nine hundred seventy-five".