100812006 has 64 divisors (see below), whose sum is σ = 238852800. Its totient is φ = 31408128.

The previous prime is 100811999. The next prime is 100812011. The reversal of 100812006 is 600218001.

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 100812006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176890 + ... + 177458.

It is an arithmetic number, because the mean of its divisors is an integer number (3732075).

Almost surely, 2^100812006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100812006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119426400).

100812006 is an abundant number, since it is smaller than the sum of its proper divisors (138040794).

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

100812006 is a wasteful number, since it uses less digits than its factorization.

100812006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100812006 is about 10040.5182137179. The cubic root of 100812006 is about 465.4118307808.

The spelling of 100812006 in words is "one hundred million, eight hundred twelve thousand, six".