107168040 has 288 divisors, whose sum is σ = 425243520. Its totient is φ = 22885632.

The previous prime is 107168011. The next prime is 107168057. The reversal of 107168040 is 40861701.

It is a happy number.

It is a super-2 number, since 2×107168040² = 22969977594883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107167995 and 107168013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2492259 + ... + 2492301.

It is an arithmetic number, because the mean of its divisors is an integer number (1476540).

Almost surely, 2^107168040 is an apocalyptic number.

107168040 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 107168040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212621760).

107168040 is an abundant number, since it is smaller than the sum of its proper divisors (318075480).

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

107168040 is a wasteful number, since it uses less digits than its factorization.

107168040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107168040 is about 10352.1997662333. The cubic root of 107168040 is about 474.9943341891.

The spelling of 107168040 in words is "one hundred seven million, one hundred sixty-eight thousand, forty".