100018881 has 40 divisors (see below), whose sum is σ = 160231104. Its totient is φ = 62013600.

The previous prime is 100018879. The next prime is 100018909. The reversal of 100018881 is 188810001.

It is not a de Polignac number, because 100018881 - 2¹ = 100018879 is a prime.

It is a super-2 number, since 2×100018881² = 20007553112984322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100018801) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68206 + ... + 69656.

Almost surely, 2^100018881 is an apocalyptic number.

It is an amenable number.

100018881 is a deficient number, since it is larger than the sum of its proper divisors (60212223).

100018881 is a wasteful number, since it uses less digits than its factorization.

100018881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 100018881 is about 10000.9440054427. The cubic root of 100018881 is about 464.1880941358.

Adding to 100018881 its reverse (188810001), we get a palindrome (288828882).

It can be divided in two parts, 1000 and 18881, that added together give a square (19881 = 141²).

The spelling of 100018881 in words is "one hundred million, eighteen thousand, eight hundred eighty-one".