106017672 has 64 divisors (see below), whose sum is σ = 278640000. Its totient is φ = 33549824.

The previous prime is 106017641. The next prime is 106017713. The reversal of 106017672 is 276710601.

It is a happy number.

It is a super-2 number, since 2×106017672² = 22479493552599168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81604 + ... + 82892.

It is an arithmetic number, because the mean of its divisors is an integer number (4353750).

Almost surely, 2^106017672 is an apocalyptic number.

106017672 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 106017672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139320000).

106017672 is an abundant number, since it is smaller than the sum of its proper divisors (172622328).

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

106017672 is a wasteful number, since it uses less digits than its factorization.

106017672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1466 counting only the distinct ones).

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

The square root of 106017672 is about 10296.4883334077. The cubic root of 106017672 is about 473.2886479449.

The spelling of 106017672 in words is "one hundred six million, seventeen thousand, six hundred seventy-two".