101181006 has 24 divisors (see below), whose sum is σ = 219938160. Its totient is φ = 33617376.

The previous prime is 101180987. The next prime is 101181007. The reversal of 101181006 is 600181101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101181006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101181007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3346 + ... + 14613.

It is an arithmetic number, because the mean of its divisors is an integer number (9164090).

Almost surely, 2^101181006 is an apocalyptic number.

101181006 is an abundant number, since it is smaller than the sum of its proper divisors (118757154).

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

101181006 is a wasteful number, since it uses less digits than its factorization.

101181006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18280 (or 18277 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 101181006 is about 10058.8769750902. The cubic root of 101181006 is about 465.9789849733.

The spelling of 101181006 in words is "one hundred one million, one hundred eighty-one thousand, six".