100073085 has 16 divisors (see below), whose sum is σ = 182990976. Its totient is φ = 45747648.

The previous prime is 100073059. The next prime is 100073089. The reversal of 100073085 is 580370001.

It is not a de Polignac number, because 100073085 - 2¹³ = 100064893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100073089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476434 + ... + 476643.

It is an arithmetic number, because the mean of its divisors is an integer number (11436936).

Almost surely, 2^100073085 is an apocalyptic number.

100073085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100073085 is a deficient number, since it is larger than the sum of its proper divisors (82917891).

100073085 is an equidigital number, since it uses as much as digits as its factorization.

100073085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953092.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 100073085 is about 10003.6535825667. The cubic root of 100073085 is about 464.2719326650.

The spelling of 100073085 in words is "one hundred million, seventy-three thousand, eighty-five".