106371160 has 64 divisors (see below), whose sum is σ = 279144000. Its totient is φ = 36465408.

The previous prime is 106371131. The next prime is 106371169. The reversal of 106371160 is 61173601.

It is a happy number.

It is a super-2 number, since 2×106371160² = 22629647359491200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106371169) 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, 9844 + ... + 17596.

It is an arithmetic number, because the mean of its divisors is an integer number (4361625).

Almost surely, 2^106371160 is an apocalyptic number.

106371160 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 106371160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139572000).

106371160 is an abundant number, since it is smaller than the sum of its proper divisors (172772840).

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

106371160 is an equidigital number, since it uses as much as digits as its factorization.

106371160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7785 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 106371160 is about 10313.6395128005. The cubic root of 106371160 is about 473.8140831759.

The spelling of 106371160 in words is "one hundred six million, three hundred seventy-one thousand, one hundred sixty".