106171728 has 80 divisors (see below), whose sum is σ = 297064320. Its totient is φ = 32481792.

The previous prime is 106171727. The next prime is 106171729. The reversal of 106171728 is 827171601.

It is an interprime number because it is at equal distance from previous prime (106171727) and next prime (106171729).

It is a super-2 number, since 2×106171728² = 22544871653011968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106171727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142525 + ... + 143267.

It is an arithmetic number, because the mean of its divisors is an integer number (3713304).

Almost surely, 2^106171728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106171728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148532160).

106171728 is an abundant number, since it is smaller than the sum of its proper divisors (190892592).

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

106171728 is a wasteful number, since it uses less digits than its factorization.

106171728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 33.

The square root of 106171728 is about 10303.9666148527. The cubic root of 106171728 is about 473.5177847988.

The spelling of 106171728 in words is "one hundred six million, one hundred seventy-one thousand, seven hundred twenty-eight".