100018071 has 64 divisors (see below), whose sum is σ = 165312000. Its totient is φ = 60256224.

The previous prime is 100018057. The next prime is 100018081. The reversal of 100018071 is 170810001.

It is not a de Polignac number, because 100018071 - 2⁹ = 100017559 is a prime.

It is a super-2 number, since 2×100018071² = 20007229053122082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100018001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1204996 + ... + 1205078.

It is an arithmetic number, because the mean of its divisors is an integer number (2583000).

Almost surely, 2^100018071 is an apocalyptic number.

100018071 is a deficient number, since it is larger than the sum of its proper divisors (65293929).

100018071 is an frugal number, since it uses more digits than its factorization.

100018071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 100018071 is about 10000.9035091836. The cubic root of 100018071 is about 464.1868410612.

Adding to 100018071 its reverse (170810001), we get a palindrome (270828072).

The spelling of 100018071 in words is "one hundred million, eighteen thousand, seventy-one".