100670112 has 72 divisors (see below), whose sum is σ = 287498484. Its totient is φ = 33414144.

The previous prime is 100670093. The next prime is 100670117. The reversal of 100670112 is 211076001.

It can be written as a sum of positive squares in 2 ways, for example, as 92852496 + 7817616 = 9636^2 + 2796^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (100670117) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 83788 + ... + 84980.

Almost surely, 2^100670112 is an apocalyptic number.

100670112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100670112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143749242).

100670112 is an abundant number, since it is smaller than the sum of its proper divisors (186828372).

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

100670112 is a wasteful number, since it uses less digits than its factorization.

100670112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 100670112 is about 10033.4496560256. The cubic root of 100670112 is about 465.1933708414.

The spelling of 100670112 in words is "one hundred million, six hundred seventy thousand, one hundred twelve".