100607973 has 8 divisors (see below), whose sum is σ = 137415936. Its totient is φ = 65436000.

The previous prime is 100607963. The next prime is 100608017. The reversal of 100607973 is 379706001.

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

It is not a de Polignac number, because 100607973 - 2⁶ = 100607909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100607963) 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 7 ways as a sum of consecutive naturals, for example, 408853 + ... + 409098.

It is an arithmetic number, because the mean of its divisors is an integer number (17176992).

Almost surely, 2^100607973 is an apocalyptic number.

It is an amenable number.

100607973 is a deficient number, since it is larger than the sum of its proper divisors (36807963).

100607973 is an equidigital number, since it uses as much as digits as its factorization.

100607973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817995.

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 100607973 is about 10030.3525860261. The cubic root of 100607973 is about 465.0976370302.

The spelling of 100607973 in words is "one hundred million, six hundred seven thousand, nine hundred seventy-three".