100071018 has 16 divisors (see below), whose sum is σ = 222380160. Its totient is φ = 33356988.

The previous prime is 100071017. The next prime is 100071029. The reversal of 100071018 is 810170001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100071011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 926530 + ... + 926637.

It is an arithmetic number, because the mean of its divisors is an integer number (13898760).

Almost surely, 2^100071018 is an apocalyptic number.

100071018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100071018 is an abundant number, since it is smaller than the sum of its proper divisors (122309142).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100071018 is a wasteful number, since it uses less digits than its factorization.

100071018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853178 (or 1853172 counting only the distinct ones).

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

The square root of 100071018 is about 10003.5502697792. The cubic root of 100071018 is about 464.2687361456.

It can be divided in two parts, 10007 and 1018, that added together give a square (11025 = 105²).

The spelling of 100071018 in words is "one hundred million, seventy-one thousand, eighteen".