100676106 has 72 divisors (see below), whose sum is σ = 232492260. Its totient is φ = 31477248.

The previous prime is 100676087. The next prime is 100676111. The reversal of 100676106 is 601676001.

It can be written as a sum of positive squares in 2 ways, for example, as 100100025 + 576081 = 10005^2 + 759^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100676106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 923580 + ... + 923688.

Almost surely, 2^100676106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100676106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116246130).

100676106 is an abundant number, since it is smaller than the sum of its proper divisors (131816154).

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

100676106 is a wasteful number, since it uses less digits than its factorization.

100676106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 100676106 is about 10033.7483524354. The cubic root of 100676106 is about 465.2026033523.

The spelling of 100676106 in words is "one hundred million, six hundred seventy-six thousand, one hundred six".