106171872 has 48 divisors (see below), whose sum is σ = 284643072. Its totient is φ = 34636160.

The previous prime is 106171831. The next prime is 106171883. The reversal of 106171872 is 278171601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106171872² = 22544932807968768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7254 + ... + 16277.

It is an arithmetic number, because the mean of its divisors is an integer number (5930064).

Almost surely, 2^106171872 is an apocalyptic number.

106171872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106171872 is an abundant number, since it is smaller than the sum of its proper divisors (178471200).

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

106171872 is a wasteful number, since it uses less digits than its factorization.

106171872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23591 (or 23583 counting only the distinct ones).

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

The square root of 106171872 is about 10303.9736024507. The cubic root of 106171872 is about 473.5179988750.

The spelling of 106171872 in words is "one hundred six million, one hundred seventy-one thousand, eight hundred seventy-two".