100985307 has 8 divisors (see below), whose sum is σ = 135616320. Its totient is φ = 66838920.

The previous prime is 100985293. The next prime is 100985309. The reversal of 100985307 is 703589001.

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

It is not a de Polignac number, because 100985307 - 2¹⁶ = 100919771 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (100985309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120669 + ... + 121502.

It is an arithmetic number, because the mean of its divisors is an integer number (16952040).

Almost surely, 2^100985307 is an apocalyptic number.

100985307 is a deficient number, since it is larger than the sum of its proper divisors (34631013).

100985307 is a wasteful number, since it uses less digits than its factorization.

100985307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242313.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 100985307 is about 10049.1445904614. The cubic root of 100985307 is about 465.6783670315.

The spelling of 100985307 in words is "one hundred million, nine hundred eighty-five thousand, three hundred seven".