100164017085 has 64 divisors (see below), whose sum is σ = 185243500800. Its totient is φ = 45676154880.

The previous prime is 100164017081. The next prime is 100164017099. The reversal of 100164017085 is 580710461001.

It is a happy number.

It is not a de Polignac number, because 100164017085 - 2² = 100164017081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100164017081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4333419 + ... + 4356471.

It is an arithmetic number, because the mean of its divisors is an integer number (2894429700).

Almost surely, 2^100164017085 is an apocalyptic number.

100164017085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100164017085 is a deficient number, since it is larger than the sum of its proper divisors (85079483715).

100164017085 is a wasteful number, since it uses less digits than its factorization.

100164017085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24638.

The product of its (nonzero) digits is 6720, while the sum is 33.

Adding to 100164017085 its reverse (580710461001), we get a palindrome (680874478086).

The spelling of 100164017085 in words is "one hundred billion, one hundred sixty-four million, seventeen thousand, eighty-five".