100100085 has 32 divisors (see below), whose sum is σ = 168084480. Its totient is φ = 50803200.

The previous prime is 100100081. The next prime is 100100089. The reversal of 100100085 is 580001001.

100100085 = 3331² + 3332² + ... + 3339².

It is a happy number.

100100085 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (100100081) and next prime (100100089).

It is not a de Polignac number, because 100100085 - 2² = 100100081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26601 + ... + 30129.

It is an arithmetic number, because the mean of its divisors is an integer number (5252640).

Almost surely, 2^100100085 is an apocalyptic number.

100100085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100100085 is a deficient number, since it is larger than the sum of its proper divisors (67984395).

100100085 is a wasteful number, since it uses less digits than its factorization.

100100085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 100100085 is about 10005.0029985003. The cubic root of 100100085 is about 464.3136828685.

Adding to 100100085 its reverse (580001001), we get a palindrome (680101086).

The spelling of 100100085 in words is "one hundred million, one hundred thousand, eighty-five".