100872693 has 12 divisors (see below), whose sum is σ = 149643468. Its totient is φ = 65430720.

The previous prime is 100872683. The next prime is 100872697. The reversal of 100872693 is 396278001.

It can be written as a sum of positive squares in 2 ways, for example, as 85988529 + 14884164 = 9273^2 + 3858^2 .

It is not a de Polignac number, because 100872693 - 2¹⁰ = 100871669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100872697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151128 + ... + 151793.

It is an arithmetic number, because the mean of its divisors is an integer number (12470289).

Almost surely, 2^100872693 is an apocalyptic number.

It is an amenable number.

100872693 is a deficient number, since it is larger than the sum of its proper divisors (48770775).

100872693 is a wasteful number, since it uses less digits than its factorization.

100872693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302964 (or 302961 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 100872693 is about 10043.5398640121. The cubic root of 100872693 is about 465.5052018757.

The spelling of 100872693 in words is "one hundred million, eight hundred seventy-two thousand, six hundred ninety-three".