107171376 has 160 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 31180800.

The previous prime is 107171357. The next prime is 107171399. The reversal of 107171376 is 673171701.

It is a super-2 number, since 2×107171376² = 22971407667466752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1509421 + ... + 1509491.

It is an arithmetic number, because the mean of its divisors is an integer number (1968624).

Almost surely, 2^107171376 is an apocalyptic number.

107171376 is a gapful number since it is divisible by the number (16) 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 107171376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

107171376 is an abundant number, since it is smaller than the sum of its proper divisors (207808464).

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

107171376 is a wasteful number, since it uses less digits than its factorization.

107171376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

The square root of 107171376 is about 10352.3608901545. The cubic root of 107171376 is about 474.9992627874. Note that the first 3 decimals are identical.

The spelling of 107171376 in words is "one hundred seven million, one hundred seventy-one thousand, three hundred seventy-six".