106107672 has 64 divisors (see below), whose sum is σ = 296472960. Its totient is φ = 31366400.

The previous prime is 106107653. The next prime is 106107679. The reversal of 106107672 is 276701601.

It is a happy number.

It is a super-2 number, since 2×106107672² = 22517676114519168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106107679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5923 + ... + 15725.

It is an arithmetic number, because the mean of its divisors is an integer number (4632390).

Almost surely, 2^106107672 is an apocalyptic number.

106107672 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 106107672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148236480).

106107672 is an abundant number, since it is smaller than the sum of its proper divisors (190365288).

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

106107672 is a wasteful number, since it uses less digits than its factorization.

106107672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9864 (or 9860 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 106107672 is about 10300.8578283559. The cubic root of 106107672 is about 473.4225373546.

The spelling of 106107672 in words is "one hundred six million, one hundred seven thousand, six hundred seventy-two".