107156160 has 168 divisors, whose sum is σ = 381579120. Its totient is φ = 27568128.

The previous prime is 107156087. The next prime is 107156173. The reversal of 107156160 is 61651701.

It is a super-2 number, since 2×107156160² = 22964885251891200, 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 23 ways as a sum of consecutive naturals, for example, 82879 + ... + 84161.

Almost surely, 2^107156160 is an apocalyptic number.

107156160 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 107156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190789560).

107156160 is an abundant number, since it is smaller than the sum of its proper divisors (274422960).

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

107156160 is a wasteful number, since it uses less digits than its factorization.

107156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 107156160 is about 10351.6259592394. The cubic root of 107156160 is about 474.9767818753.

The spelling of 107156160 in words is "one hundred seven million, one hundred fifty-six thousand, one hundred sixty".