106171600 has 60 divisors (see below), whose sum is σ = 256083436. Its totient is φ = 42301440.

The previous prime is 106171577. The next prime is 106171603. The reversal of 106171600 is 6171601.

It can be written as a sum of positive squares in 6 ways, for example, as 47004736 + 59166864 = 6856^2 + 7692^2 .

It is a super-2 number, since 2×106171600² = 22544817293120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106171603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172894 + ... + 173506.

Almost surely, 2^106171600 is an apocalyptic number.

106171600 is a gapful number since it is divisible by the number (10) 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 106171600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128041718).

106171600 is an abundant number, since it is smaller than the sum of its proper divisors (149911836).

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

106171600 is a wasteful number, since it uses less digits than its factorization.

106171600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 106171600 is about 10303.9604036506. The cubic root of 106171600 is about 473.5175945086.

Subtracting from 106171600 its reverse (6171601), we obtain a palindrome (99999999).

The spelling of 106171600 in words is "one hundred six million, one hundred seventy-one thousand, six hundred".