100609993 has 16 divisors (see below), whose sum is σ = 113434560. Its totient is φ = 88430400.

The previous prime is 100609991. The next prime is 100610009. The reversal of 100609993 is 399906001.

It is a cyclic number.

It is not a de Polignac number, because 100609993 - 2¹ = 100609991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100609991) 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 15 ways as a sum of consecutive naturals, for example, 72163 + ... + 73543.

It is an arithmetic number, because the mean of its divisors is an integer number (7089660).

Almost surely, 2^100609993 is an apocalyptic number.

It is an amenable number.

100609993 is a deficient number, since it is larger than the sum of its proper divisors (12824567).

100609993 is a wasteful number, since it uses less digits than its factorization.

100609993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608.

The product of its (nonzero) digits is 13122, while the sum is 37.

The square root of 100609993 is about 10030.4532798872. The cubic root of 100609993 is about 465.1007497422.

The spelling of 100609993 in words is "one hundred million, six hundred nine thousand, nine hundred ninety-three".